112818412425600 has 1152 divisors, whose sum is σ = 461995240412160. Its totient is φ = 25679462400000.

The previous prime is 112818412425599. The next prime is 112818412425683. The reversal of 112818412425600 is 6524214818211.

112818412425600 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 1 + 8 + 4 + 12 + 4 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 70467464800 + ... + 70467466400.

It is an arithmetic number, because the mean of its divisors is an integer number (401037535080).

Almost surely, 2^{112818412425600} is an apocalyptic number.

112818412425600 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 112818412425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230997620206080).

112818412425600 is an abundant number, since it is smaller than the sum of its proper divisors (349176827986560).

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

112818412425600 is a wasteful number, since it uses less digits than its factorization.

112818412425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 112818412425600 in words is "one hundred twelve trillion, eight hundred eighteen billion, four hundred twelve million, four hundred twenty-five thousand, six hundred".