112116456 has 48 divisors (see below), whose sum is σ = 305437860. Its totient is φ = 37152000.

The previous prime is 112116379. The next prime is 112116463. The reversal of 112116456 is 654611211.

112116456 is a `hidden beast` number, since 1 + 1 + 2 + 11 + 645 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111640356 + 476100 = 10566^2 + 690^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7956 + ... + 16956.

Almost surely, 2^112116456 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 112116456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152718930).

112116456 is an abundant number, since it is smaller than the sum of its proper divisors (193321404).

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

112116456 is a wasteful number, since it uses less digits than its factorization.

112116456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 9179 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 112116456 is about 10588.5058436023. The cubic root of 112116456 is about 482.1954637296.

Adding to 112116456 its reverse (654611211), we get a palindrome (766727667).

The spelling of 112116456 in words is "one hundred twelve million, one hundred sixteen thousand, four hundred fifty-six".