113816800057632 has 192 divisors, whose sum is σ = 344708872833024. Its totient is φ = 32210131322880.

The previous prime is 113816800057601. The next prime is 113816800057637. The reversal of 113816800057632 is 236750008618311.

113816800057632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (113816800057637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29967532 + ... + 33551252.

It is an arithmetic number, because the mean of its divisors is an integer number (1795358712672).

Almost surely, 2^{113816800057632} is an apocalyptic number.

113816800057632 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 113816800057632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172354436416512).

113816800057632 is an abundant number, since it is smaller than the sum of its proper divisors (230892072775392).

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

113816800057632 is a wasteful number, since it uses less digits than its factorization.

113816800057632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584191 (or 3584183 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 113816800057632 in words is "one hundred thirteen trillion, eight hundred sixteen billion, eight hundred million, fifty-seven thousand, six hundred thirty-two".