107348689418256 has 240 divisors, whose sum is σ = 364334948070912. Its totient is φ = 29058972825600.

The previous prime is 107348689418233. The next prime is 107348689418317. The reversal of 107348689418256 is 652814986843701.

107348689418256 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 4 + 86 + 89 + 418 + 2 + 56 = 666.

It is a super-2 number, since 2×107348689418256² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83444325 + ... + 84721028.

It is a 1-persistent number, because it is pandigital, but 2⋅107348689418256 = 214697378836512 is not.

Almost surely, 2^{107348689418256} is an apocalyptic number.

107348689418256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107348689418256 is an abundant number, since it is smaller than the sum of its proper divisors (256986258652656).

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

107348689418256 is a wasteful number, since it uses less digits than its factorization.

107348689418256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168165422 (or 168165413 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 107348689418256 in words is "one hundred seven trillion, three hundred forty-eight billion, six hundred eighty-nine million, four hundred eighteen thousand, two hundred fifty-six".