138868308064512 has 1296 divisors, whose sum is σ = 478382273969600. Its totient is φ = 39915165007872.

The previous prime is 138868308064501. The next prime is 138868308064529. The reversal of 138868308064512 is 215460803868831.

138868308064512 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 6 + 8 + 30 + 80 + 6 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a self number, because there is not a number n which added to its sum of digits gives 138868308064512.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18395586114 + ... + 18395593662.

Almost surely, 2^{138868308064512} is an apocalyptic number.

138868308064512 is a gapful number since it is divisible by the number (12) 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 138868308064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239191136984800).

138868308064512 is an abundant number, since it is smaller than the sum of its proper divisors (339513965905088).

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

138868308064512 is an equidigital number, since it uses as much as digits as its factorization.

138868308064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 138868308064512 in words is "one hundred thirty-eight trillion, eight hundred sixty-eight billion, three hundred eight million, sixty-four thousand, five hundred twelve".