111564864 has 70 divisors (see below), whose sum is σ = 330728574. Its totient is φ = 37186560.

The previous prime is 111564847. The next prime is 111564889. The reversal of 111564864 is 468465111.

111564864 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 648 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95883264 + 15681600 = 9792^2 + 3960^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5577 + ... + 15944.

Almost surely, 2^111564864 is an apocalyptic number.

It is an amenable number.

111564864 is an abundant number, since it is smaller than the sum of its proper divisors (219163710).

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

111564864 is an equidigital number, since it uses as much as digits as its factorization.

111564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21545 (or 21526 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 111564864 is about 10562.4269938305. The cubic root of 111564864 is about 481.4033928522.

The spelling of 111564864 in words is "one hundred eleven million, five hundred sixty-four thousand, eight hundred sixty-four".