112227564564 has 72 divisors (see below), whose sum is σ = 285947881128. Its totient is φ = 37111726080.

The previous prime is 112227564541. The next prime is 112227564569. The reversal of 112227564564 is 465465722211.

112227564564 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 27 + 5 + 64 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69638987664 + 42588576900 = 263892^2 + 206370^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112227564569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3607444 + ... + 3638420.

It is an arithmetic number, because the mean of its divisors is an integer number (3971498349).

Almost surely, 2^112227564564 is an apocalyptic number.

It is an amenable number.

112227564564 is an abundant number, since it is smaller than the sum of its proper divisors (173720316564).

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

112227564564 is a wasteful number, since it uses less digits than its factorization.

112227564564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31785 (or 31780 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 112227564564 in words is "one hundred twelve billion, two hundred twenty-seven million, five hundred sixty-four thousand, five hundred sixty-four".