112368720937104 has 320 divisors, whose sum is σ = 354080892928000. Its totient is φ = 33986156359680.

The previous prime is 112368720937061. The next prime is 112368720937127. The reversal of 112368720937104 is 401739027863211.

112368720937104 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 68 + 7 + 209 + 371 + 0 + 4 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22405077 + ... + 26957835.

It is an arithmetic number, because the mean of its divisors is an integer number (1106502790400).

Almost surely, 2^{112368720937104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112368720937104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177040446464000).

112368720937104 is an abundant number, since it is smaller than the sum of its proper divisors (241712171990896).

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

112368720937104 is a wasteful number, since it uses less digits than its factorization.

112368720937104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552923 (or 4552911 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 112368720937104 in words is "one hundred twelve trillion, three hundred sixty-eight billion, seven hundred twenty million, nine hundred thirty-seven thousand, one hundred four".