112634450933760 has 3840 divisors, whose sum is σ = 509948168970240. Its totient is φ = 23187161088000.

The previous prime is 112634450933759. The next prime is 112634450933887. The reversal of 112634450933760 is 67339054436211.

112634450933760 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 44 + 509 + 3 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 112634450933697 and 112634450933706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 400834344820 + ... + 400834345100.

It is an arithmetic number, because the mean of its divisors is an integer number (132799002336).

Almost surely, 2^{112634450933760} is an apocalyptic number.

112634450933760 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 112634450933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254974084485120).

112634450933760 is an abundant number, since it is smaller than the sum of its proper divisors (397313718036480).

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

112634450933760 is a wasteful number, since it uses less digits than its factorization.

112634450933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 112634450933760 in words is "one hundred twelve trillion, six hundred thirty-four billion, four hundred fifty million, nine hundred thirty-three thousand, seven hundred sixty".