112887715261824 has 192 divisors, whose sum is σ = 327332722516800. Its totient is φ = 37341449763840.

The previous prime is 112887715261757. The next prime is 112887715261843. The reversal of 112887715261824 is 428162517788211.

It is a happy number.

112887715261824 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 8 + 7 + 7 + 1 + 5 + 2 + 618 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352601979 + ... + 352921989.

It is an arithmetic number, because the mean of its divisors is an integer number (1704857929775).

Almost surely, 2^{112887715261824} 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 112887715261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163666361258400).

112887715261824 is an abundant number, since it is smaller than the sum of its proper divisors (214445007254976).

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

112887715261824 is a wasteful number, since it uses less digits than its factorization.

112887715261824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322373 (or 322358 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 63.

The spelling of 112887715261824 in words is "one hundred twelve trillion, eight hundred eighty-seven billion, seven hundred fifteen million, two hundred sixty-one thousand, eight hundred twenty-four".