112814784 has 84 divisors (see below), whose sum is σ = 327915016. Its totient is φ = 37075968.

The previous prime is 112814773. The next prime is 112814791. The reversal of 112814784 is 487418211.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40707 + ... + 43389.

Almost surely, 2^112814784 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 112814784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163957508).

112814784 is an abundant number, since it is smaller than the sum of its proper divisors (215100232).

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

112814784 is a wasteful number, since it uses less digits than its factorization.

112814784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2761 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 112814784 is about 10621.4304121432. The cubic root of 112814784 is about 483.1945257629.

The spelling of 112814784 in words is "one hundred twelve million, eight hundred fourteen thousand, seven hundred eighty-four".