112456520960 has 216 divisors, whose sum is σ = 313834104360. Its totient is φ = 38496632832.

The previous prime is 112456520933. The next prime is 112456520977. The reversal of 112456520960 is 69025654211.

It can be written as a sum of positive squares in 4 ways, for example, as 5647823104 + 106808697856 = 75152^2 + 326816^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63283592 + ... + 63285368.

Almost surely, 2^112456520960 is an apocalyptic number.

112456520960 is a gapful number since it is divisible by the number (10) 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 112456520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156917052180).

112456520960 is an abundant number, since it is smaller than the sum of its proper divisors (201377583400).

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

112456520960 is a wasteful number, since it uses less digits than its factorization.

112456520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 112456520960 in words is "one hundred twelve billion, four hundred fifty-six million, five hundred twenty thousand, nine hundred sixty".