112567500864 has 504 divisors, whose sum is σ = 421810159680. Its totient is φ = 28395214848.

The previous prime is 112567500863. The next prime is 112567500911. The reversal of 112567500864 is 468005765211.

112567500864 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 67 + 500 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (112567500863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8432307 + ... + 8445645.

It is an arithmetic number, because the mean of its divisors is an integer number (836924920).

Almost surely, 2^112567500864 is an apocalyptic number.

112567500864 is a gapful number since it is divisible by the number (14) 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 112567500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210905079840).

112567500864 is an abundant number, since it is smaller than the sum of its proper divisors (309242658816).

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

112567500864 is a wasteful number, since it uses less digits than its factorization.

112567500864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407 (or 13387 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 112567500864 in words is "one hundred twelve billion, five hundred sixty-seven million, five hundred thousand, eight hundred sixty-four".