112515381888 has 256 divisors, whose sum is σ = 379708170240. Its totient is φ = 28716871680.

The previous prime is 112515381833. The next prime is 112515381931. The reversal of 112515381888 is 888183515211.

It is a super-2 number, since 2×112515381888² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112515381888.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031331 + ... + 1135197.

It is an arithmetic number, because the mean of its divisors is an integer number (1483235040).

Almost surely, 2^112515381888 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 112515381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189854085120).

112515381888 is an abundant number, since it is smaller than the sum of its proper divisors (267192788352).

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

112515381888 is a wasteful number, since it uses less digits than its factorization.

112515381888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103935 (or 103923 counting only the distinct ones).

The product of its digits is 614400, while the sum is 51.

The spelling of 112515381888 in words is "one hundred twelve billion, five hundred fifteen million, three hundred eighty-one thousand, eight hundred eighty-eight".