113516624064 has 56 divisors (see below), whose sum is σ = 300387430720. Its totient is φ = 37833663744.

The previous prime is 113516624051. The next prime is 113516624077. The reversal of 113516624064 is 460426615311.

113516624064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113516624051) and next prime (113516624077).

It is a super-3 number, since 3×113516624064³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1510647 + ... + 1584009.

Almost surely, 2^113516624064 is an apocalyptic number.

It is an amenable number.

113516624064 is an abundant number, since it is smaller than the sum of its proper divisors (186870806656).

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

113516624064 is an equidigital number, since it uses as much as digits as its factorization.

113516624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81437 (or 81427 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 113516624064 in words is "one hundred thirteen billion, five hundred sixteen million, six hundred twenty-four thousand, sixty-four".