112993608000 has 1344 divisors, whose sum is σ = 493271251200. Its totient is φ = 22527590400.

The previous prime is 112993607963. The next prime is 112993608017. The reversal of 112993608000 is 806399211.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 112993608000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290471806 + ... + 290472194.

It is an arithmetic number, because the mean of its divisors is an integer number (367017300).

Almost surely, 2^112993608000 is an apocalyptic number.

112993608000 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 112993608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246635625600).

112993608000 is an abundant number, since it is smaller than the sum of its proper divisors (380277643200).

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

112993608000 is a wasteful number, since it uses less digits than its factorization.

112993608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 112993608000 in words is "one hundred twelve billion, nine hundred ninety-three million, six hundred eight thousand".