1138908266496 has 1088 divisors, whose sum is σ = 4537866762240. Its totient is φ = 272640245760.

The previous prime is 1138908266473. The next prime is 1138908266497. The reversal of 1138908266496 is 6946628098311.

1138908266496 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 9 + 0 + 82 + 66 + 496 = 666.

It is a super-2 number, since 2×1138908266496² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1138908266497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1771241151 + ... + 1771241793.

Almost surely, 2^{1138908266496} is an apocalyptic number.

1138908266496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138908266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268933381120).

1138908266496 is an abundant number, since it is smaller than the sum of its proper divisors (3398958495744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1138908266496 is an equidigital number, since it uses as much as digits as its factorization.

1138908266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 1138908266496 in words is "one trillion, one hundred thirty-eight billion, nine hundred eight million, two hundred sixty-six thousand, four hundred ninety-six".