113705140624640 has 72 divisors (see below), whose sum is σ = 272658314896128. Its totient is φ = 45432130365440.

The previous prime is 113705140624613. The next prime is 113705140624681. The reversal of 113705140624640 is 46426041507311.

It is a junction number, because it is equal to n+sod(n) for n = 113705140624591 and 113705140624600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47589212 + ... + 49921371.

It is an arithmetic number, because the mean of its divisors is an integer number (3786921040224).

Almost surely, 2^{113705140624640} is an apocalyptic number.

113705140624640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113705140624640 is an abundant number, since it is smaller than the sum of its proper divisors (158953174271488).

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

113705140624640 is an frugal number, since it uses more digits than its factorization.

113705140624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97511515 (or 97511501 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 113705140624640 in words is "one hundred thirteen trillion, seven hundred five billion, one hundred forty million, six hundred twenty-four thousand, six hundred forty".