113162620800096 has 144 divisors (see below), whose sum is σ = 367787452241664. Its totient is φ = 32331391909632.

The previous prime is 113162620800083. The next prime is 113162620800101. The reversal of 113162620800096 is 690008026261311.

113162620800096 is a `hidden beast` number, since 1 + 1 + 3 + 16 + 2 + 620 + 8 + 0 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84993211 + ... + 86314373.

It is an arithmetic number, because the mean of its divisors is an integer number (2554079529456).

Almost surely, 2^{113162620800096} is an apocalyptic number.

113162620800096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113162620800096 is an abundant number, since it is smaller than the sum of its proper divisors (254624831441568).

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

113162620800096 is a wasteful number, since it uses less digits than its factorization.

113162620800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363673 (or 1363662 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 113162620800096 in words is "one hundred thirteen trillion, one hundred sixty-two billion, six hundred twenty million, eight hundred thousand, ninety-six".