112683129427008 has 504 divisors, whose sum is σ = 384031508320512. Its totient is φ = 31483958059008.

The previous prime is 112683129426971. The next prime is 112683129427051. The reversal of 112683129427008 is 800724921386211.

112683129427008 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 83 + 1 + 294 + 270 + 0 + 8 = 666.

112683129427008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1622309016 + ... + 1622378472.

Almost surely, 2^{112683129427008} is an apocalyptic number.

112683129427008 is a gapful number since it is divisible by the number (18) 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 112683129427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192015754160256).

112683129427008 is an abundant number, since it is smaller than the sum of its proper divisors (271348378893504).

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

112683129427008 is a wasteful number, since it uses less digits than its factorization.

112683129427008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70759 (or 70739 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 112683129427008 in words is "one hundred twelve trillion, six hundred eighty-three billion, one hundred twenty-nine million, four hundred twenty-seven thousand, eight".