112492820248704 has 1280 divisors, whose sum is σ = 418670718935040. Its totient is φ = 29239750656000.

The previous prime is 112492820248681. The next prime is 112492820248747. The reversal of 112492820248704 is 407842028294211.

112492820248704 is a `hidden beast` number, since 1 + 1 + 2 + 492 + 82 + 0 + 2 + 4 + 8 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55497196939 + ... + 55497198965.

It is an arithmetic number, because the mean of its divisors is an integer number (327086499168).

Almost surely, 2^{112492820248704} is an apocalyptic number.

112492820248704 is a gapful number since it is divisible by the number (14) 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 112492820248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209335359467520).

112492820248704 is an abundant number, since it is smaller than the sum of its proper divisors (306177898686336).

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

112492820248704 is a wasteful number, since it uses less digits than its factorization.

112492820248704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 112492820248704 in words is "one hundred twelve trillion, four hundred ninety-two billion, eight hundred twenty million, two hundred forty-eight thousand, seven hundred four".