113583686536320 has 4096 divisors, whose sum is σ = 521674894540800. Its totient is φ = 20262754713600.

The previous prime is 113583686536211. The next prime is 113583686536337. The reversal of 113583686536320 is 23635686385311.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 198920641635 + ... + 198920642205.

It is an arithmetic number, because the mean of its divisors is an integer number (127362034800).

Almost surely, 2^{113583686536320} is an apocalyptic number.

113583686536320 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 113583686536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260837447270400).

113583686536320 is an abundant number, since it is smaller than the sum of its proper divisors (408091208004480).

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

113583686536320 is a wasteful number, since it uses less digits than its factorization.

113583686536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 60.

The spelling of 113583686536320 in words is "one hundred thirteen trillion, five hundred eighty-three billion, six hundred eighty-six million, five hundred thirty-six thousand, three hundred twenty".