113811755904 has 864 divisors, whose sum is σ = 441300623400. Its totient is φ = 27973693440.

The previous prime is 113811755891. The next prime is 113811755917. The reversal of 113811755904 is 409557118311.

113811755904 is a `hidden beast` number, since 1 + 1 + 3 + 81 + 17 + 559 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (113811755891) and next prime (113811755917).

It is a self number, because there is not a number n which added to its sum of digits gives 113811755904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 129773514 + ... + 129774390.

Almost surely, 2^113811755904 is an apocalyptic number.

113811755904 is a gapful number since it is divisible by the number (14) 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 113811755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220650311700).

113811755904 is an abundant number, since it is smaller than the sum of its proper divisors (327488867496).

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

113811755904 is a wasteful number, since it uses less digits than its factorization.

113811755904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 113811755904 in words is "one hundred thirteen billion, eight hundred eleven million, seven hundred fifty-five thousand, nine hundred four".