113589229944960 has 5376 divisors, whose sum is σ = 546875754163200. Its totient is φ = 21893055528960.

The previous prime is 113589229944947. The next prime is 113589229944991. The reversal of 113589229944960 is 69449922985311.

113589229944960 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 8 + 92 + 2 + 99 + 449 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 817188704571 + ... + 817188704709.

It is an arithmetic number, because the mean of its divisors is an integer number (101725400700).

Almost surely, 2^{113589229944960} is an apocalyptic number.

113589229944960 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 113589229944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273437877081600).

113589229944960 is an abundant number, since it is smaller than the sum of its proper divisors (433286524218240).

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

113589229944960 is a wasteful number, since it uses less digits than its factorization.

113589229944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 113589229944960 in words is "one hundred thirteen trillion, five hundred eighty-nine billion, two hundred twenty-nine million, nine hundred forty-four thousand, nine hundred sixty".