112385856 has 112 divisors (see below), whose sum is σ = 327720960. Its totient is φ = 33707520.

The previous prime is 112385837. The next prime is 112385857. The reversal of 112385856 is 658583211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112385857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268015 + ... + 268433.

It is an arithmetic number, because the mean of its divisors is an integer number (2926080).

Almost surely, 2^112385856 is an apocalyptic number.

112385856 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 112385856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

112385856 is an abundant number, since it is smaller than the sum of its proper divisors (215335104).

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

112385856 is a wasteful number, since it uses less digits than its factorization.

112385856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 112385856 is about 10601.2195524855. The cubic root of 112385856 is about 482.5813706538.

The spelling of 112385856 in words is "one hundred twelve million, three hundred eighty-five thousand, eight hundred fifty-six".