diff --git a/influxql/ast.go b/influxql/ast.go
index 4e189365ef..ce743f1bc0 100644
--- a/influxql/ast.go
+++ b/influxql/ast.go
@@ -179,6 +179,7 @@ func (*Dimension) node()       {}
 func (Dimensions) node()       {}
 func (*DurationLiteral) node() {}
 func (*IntegerLiteral) node()  {}
+func (*UnsignedLiteral) node() {}
 func (*Field) node()           {}
 func (Fields) node()           {}
 func (*Measurement) node()     {}
@@ -312,6 +313,7 @@ func (*Call) expr()            {}
 func (*Distinct) expr()        {}
 func (*DurationLiteral) expr() {}
 func (*IntegerLiteral) expr()  {}
+func (*UnsignedLiteral) expr() {}
 func (*NilLiteral) expr()      {}
 func (*NumberLiteral) expr()   {}
 func (*ParenExpr) expr()       {}
@@ -333,6 +335,7 @@ type Literal interface {
 func (*BooleanLiteral) literal()  {}
 func (*DurationLiteral) literal() {}
 func (*IntegerLiteral) literal()  {}
+func (*UnsignedLiteral) literal() {}
 func (*NilLiteral) literal()      {}
 func (*NumberLiteral) literal()   {}
 func (*RegexLiteral) literal()    {}
@@ -3273,6 +3276,15 @@ type IntegerLiteral struct {
 // String returns a string representation of the literal.
 func (l *IntegerLiteral) String() string { return fmt.Sprintf("%d", l.Val) }
 
+// UnsignedLiteral represents an unsigned literal. The parser will only use an unsigned literal if the parsed
+// integer is greater than math.MaxInt64.
+type UnsignedLiteral struct {
+	Val uint64
+}
+
+// String returns a string representation of the literal.
+func (l *UnsignedLiteral) String() string { return strconv.FormatUint(l.Val, 10) }
+
 // BooleanLiteral represents a boolean literal.
 type BooleanLiteral struct {
 	Val bool
diff --git a/influxql/parser.go b/influxql/parser.go
index d33e5bbaba..9dbf309c46 100644
--- a/influxql/parser.go
+++ b/influxql/parser.go
@@ -2601,6 +2601,11 @@ func (p *Parser) parseUnaryExpr() (Expr, error) {
 	case INTEGER:
 		v, err := strconv.ParseInt(lit, 10, 64)
 		if err != nil {
+			// The literal may be too large to fit into an int64. If it is, use an unsigned integer.
+			// The check for negative numbers is handled somewhere else so this should always be a positive number.
+			if v, err := strconv.ParseUint(lit, 10, 64); err == nil {
+				return &UnsignedLiteral{Val: v}, nil
+			}
 			return nil, &ParseError{Message: "unable to parse integer", Pos: pos}
 		}
 		return &IntegerLiteral{Val: v}, nil
@@ -2677,6 +2682,16 @@ func (p *Parser) parseUnaryExpr() (Expr, error) {
 				lit.Val *= float64(mul)
 			case *IntegerLiteral:
 				lit.Val *= int64(mul)
+			case *UnsignedLiteral:
+				if tok == SUB {
+					// Because of twos-complement integers and the method we parse, math.MinInt64 will be parsed
+					// as an UnsignedLiteral because it overflows an int64, but it fits into int64 if it were parsed
+					// as a negative number instead.
+					if lit.Val == uint64(math.MaxInt64+1) {
+						return &IntegerLiteral{Val: int64(-lit.Val)}, nil
+					}
+					return nil, fmt.Errorf("constant -%d underflows int64", lit.Val)
+				}
 			case *DurationLiteral:
 				lit.Val *= time.Duration(mul)
 			case *VarRef, *Call, *ParenExpr:
diff --git a/influxql/parser_test.go b/influxql/parser_test.go
index 240299d163..d294b27328 100644
--- a/influxql/parser_test.go
+++ b/influxql/parser_test.go
@@ -3069,6 +3069,9 @@ func TestParser_ParseExpr(t *testing.T) {
 		// Primitives
 		{s: `100.0`, expr: &influxql.NumberLiteral{Val: 100}},
 		{s: `100`, expr: &influxql.IntegerLiteral{Val: 100}},
+		{s: `9223372036854775808`, expr: &influxql.UnsignedLiteral{Val: 9223372036854775808}},
+		{s: `-9223372036854775808`, expr: &influxql.IntegerLiteral{Val: -9223372036854775808}},
+		{s: `-9223372036854775809`, err: `constant -9223372036854775809 underflows int64`},
 		{s: `-100.0`, expr: &influxql.NumberLiteral{Val: -100}},
 		{s: `-100`, expr: &influxql.IntegerLiteral{Val: -100}},
 		{s: `100.`, expr: &influxql.NumberLiteral{Val: 100}},