113500075392 has 384 divisors, whose sum is σ = 373792137600. Its totient is φ = 33872256000.

The previous prime is 113500075333. The next prime is 113500075397. The reversal of 113500075392 is 293570005311.

113500075392 is a `hidden beast` number, since 1 + 13 + 500 + 0 + 7 + 53 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×113500075392² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113500075397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28015767 + ... + 28019817.

It is an arithmetic number, because the mean of its divisors is an integer number (973417025).

Almost surely, 2^113500075392 is an apocalyptic number.

113500075392 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 113500075392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186896068800).

113500075392 is an abundant number, since it is smaller than the sum of its proper divisors (260292062208).

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

113500075392 is a wasteful number, since it uses less digits than its factorization.

113500075392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 113500075392 in words is "one hundred thirteen billion, five hundred million, seventy-five thousand, three hundred ninety-two".