112342593264 has 240 divisors, whose sum is σ = 328718544000. Its totient is φ = 33017402880.

The previous prime is 112342593217. The next prime is 112342593301. The reversal of 112342593264 is 462395243211.

It is a super-2 number, since 2×112342593264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37210347 + ... + 37213365.

It is an arithmetic number, because the mean of its divisors is an integer number (1369660600).

Almost surely, 2^112342593264 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 112342593264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164359272000).

112342593264 is an abundant number, since it is smaller than the sum of its proper divisors (216375950736).

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

112342593264 is a wasteful number, since it uses less digits than its factorization.

112342593264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3227 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 112342593264 in words is "one hundred twelve billion, three hundred forty-two million, five hundred ninety-three thousand, two hundred sixty-four".