113645344896 has 512 divisors, whose sum is σ = 380765836800. Its totient is φ = 33166983168.

The previous prime is 113645344861. The next prime is 113645344937. The reversal of 113645344896 is 698443546311.

It is a happy number.

113645344896 is a `hidden beast` number, since 1 + 1 + 3 + 64 + 53 + 448 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49996816 + ... + 49999088.

It is an arithmetic number, because the mean of its divisors is an integer number (743683275).

Almost surely, 2^113645344896 is an apocalyptic number.

113645344896 is a gapful number since it is divisible by the number (16) 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 113645344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190382918400).

113645344896 is an abundant number, since it is smaller than the sum of its proper divisors (267120491904).

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

113645344896 is a wasteful number, since it uses less digits than its factorization.

113645344896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2355 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 113645344896 in words is "one hundred thirteen billion, six hundred forty-five million, three hundred forty-four thousand, eight hundred ninety-six".