113187809564928 has 216 divisors, whose sum is σ = 385830573710400. Its totient is φ = 31224223199232.

The previous prime is 113187809564861. The next prime is 113187809564953. The reversal of 113187809564928 is 829465908781311.

It is a happy number.

113187809564928 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 8 + 7 + 80 + 9 + 56 + 492 + 8 = 666.

It is a super-2 number, since 2×113187809564928² (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 23 ways as a sum of consecutive naturals, for example, 120533898 + ... + 121469321.

It is a 1-persistent number, because it is pandigital, but 2⋅113187809564928 = 226375619129856 is not.

Almost surely, 2^{113187809564928} is an apocalyptic number.

113187809564928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113187809564928 is an abundant number, since it is smaller than the sum of its proper divisors (272642764145472).

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

113187809564928 is a wasteful number, since it uses less digits than its factorization.

113187809564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242003277 (or 242003260 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 113187809564928 in words is "one hundred thirteen trillion, one hundred eighty-seven billion, eight hundred nine million, five hundred sixty-four thousand, nine hundred twenty-eight".