113179218010560 has 448 divisors, whose sum is σ = 435874521452160. Its totient is φ = 27477860843520.

The previous prime is 113179218010549. The next prime is 113179218010583. The reversal of 113179218010560 is 65010812971311.

113179218010560 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 7 + 9 + 2 + 1 + 80 + 1 + 0 + 560 = 666.

113179218010560 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1297650 + ... + 15101070.

It is an arithmetic number, because the mean of its divisors is an integer number (972934199670).

Almost surely, 2^{113179218010560} is an apocalyptic number.

113179218010560 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 113179218010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217937260726080).

113179218010560 is an abundant number, since it is smaller than the sum of its proper divisors (322695303441600).

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

113179218010560 is a wasteful number, since it uses less digits than its factorization.

113179218010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13803533 (or 13803517 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 113179218010560 in words is "one hundred thirteen trillion, one hundred seventy-nine billion, two hundred eighteen million, ten thousand, five hundred sixty".