112904391110400 has 1296 divisors, whose sum is σ = 445109998636800. Its totient is φ = 27994353500160.

The previous prime is 112904391110369. The next prime is 112904391110449. The reversal of 112904391110400 is 4011193409211.

112904391110400 is a `hidden beast` number, since 1 + 12 + 9 + 0 + 43 + 91 + 110 + 400 = 666.

112904391110400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4144939981 + ... + 4144967219.

Almost surely, 2^{112904391110400} is an apocalyptic number.

112904391110400 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 112904391110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222554999318400).

112904391110400 is an abundant number, since it is smaller than the sum of its proper divisors (332205607526400).

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

112904391110400 is a wasteful number, since it uses less digits than its factorization.

112904391110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27391 (or 27349 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 112904391110400 in words is "one hundred twelve trillion, nine hundred four billion, three hundred ninety-one million, one hundred ten thousand, four hundred".