113836624128 has 288 divisors, whose sum is σ = 350642476800. Its totient is φ = 36384768000.

The previous prime is 113836624103. The next prime is 113836624133. The reversal of 113836624128 is 821426638311.

113836624128 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 6 + 624 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30265768 + ... + 30269528.

It is an arithmetic number, because the mean of its divisors is an integer number (1217508600).

Almost surely, 2^113836624128 is an apocalyptic number.

113836624128 is a gapful number since it is divisible by the number (18) 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 113836624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175321238400).

113836624128 is an abundant number, since it is smaller than the sum of its proper divisors (236805852672).

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

113836624128 is a wasteful number, since it uses less digits than its factorization.

113836624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3946 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 113836624128 in words is "one hundred thirteen billion, eight hundred thirty-six million, six hundred twenty-four thousand, one hundred twenty-eight".