112217734944 has 576 divisors, whose sum is σ = 414898848000. Its totient is φ = 28579848192.

The previous prime is 112217734891. The next prime is 112217734973. The reversal of 112217734944 is 449437712211.

112217734944 is a `hidden beast` number, since 11 + 221 + 77 + 349 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112217734944.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31905474 + ... + 31908990.

It is an arithmetic number, because the mean of its divisors is an integer number (720310500).

Almost surely, 2^112217734944 is an apocalyptic number.

112217734944 is a gapful number since it is divisible by the number (14) 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 112217734944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207449424000).

112217734944 is an abundant number, since it is smaller than the sum of its proper divisors (302681113056).

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

112217734944 is a wasteful number, since it uses less digits than its factorization.

112217734944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3565 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 112217734944 in words is "one hundred twelve billion, two hundred seventeen million, seven hundred thirty-four thousand, nine hundred forty-four".