112856688 has 120 divisors (see below), whose sum is σ = 364802048. Its totient is φ = 31902336.

The previous prime is 112856683. The next prime is 112856749. The reversal of 112856688 is 886658211.

112856688 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 566 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112856683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103281 + ... + 104367.

Almost surely, 2^112856688 is an apocalyptic number.

112856688 is a gapful number since it is divisible by the number (18) 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 112856688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182401024).

112856688 is an abundant number, since it is smaller than the sum of its proper divisors (251945360).

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

112856688 is a wasteful number, since it uses less digits than its factorization.

112856688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1202 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 112856688 is about 10623.4028446633. The cubic root of 112856688 is about 483.2543443914.

The spelling of 112856688 in words is "one hundred twelve million, eight hundred fifty-six thousand, six hundred eighty-eight".