112431616256 has 72 divisors (see below), whose sum is σ = 229389976704. Its totient is φ = 54973900800.

The previous prime is 112431616217. The next prime is 112431616267. The reversal of 112431616256 is 652616134211.

It is a super-3 number, since 3×112431616256³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17840306 + ... + 17846606.

Almost surely, 2^112431616256 is an apocalyptic number.

112431616256 is a gapful number since it is divisible by the number (16) 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 112431616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114694988352).

112431616256 is an abundant number, since it is smaller than the sum of its proper divisors (116958360448).

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

112431616256 is an equidigital number, since it uses as much as digits as its factorization.

112431616256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7847 (or 7833 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The spelling of 112431616256 in words is "one hundred twelve billion, four hundred thirty-one million, six hundred sixteen thousand, two hundred fifty-six".