112814856 has 480 divisors, whose sum is σ = 446925600. Its totient is φ = 26127360.

The previous prime is 112814851. The next prime is 112814881. The reversal of 112814856 is 658418211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112814856.

It is not an unprimeable number, because it can be changed into a prime (112814851) 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 119 ways as a sum of consecutive naturals, for example, 5937615 + ... + 5937633.

It is an arithmetic number, because the mean of its divisors is an integer number (931095).

Almost surely, 2^112814856 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 112814856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223462800).

112814856 is an abundant number, since it is smaller than the sum of its proper divisors (334110744).

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

112814856 is a wasteful number, since it uses less digits than its factorization.

112814856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 112814856 is about 10621.4338015166. The cubic root of 112814856 is about 483.1946285567.

The spelling of 112814856 in words is "one hundred twelve million, eight hundred fourteen thousand, eight hundred fifty-six".