113641057920 has 512 divisors, whose sum is σ = 402031123200. Its totient is φ = 27126005760.

The previous prime is 113641057919. The next prime is 113641057967. The reversal of 113641057920 is 29750146311.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 299844291 + ... + 299844669.

Almost surely, 2^113641057920 is an apocalyptic number.

113641057920 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 113641057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201015561600).

113641057920 is an abundant number, since it is smaller than the sum of its proper divisors (288390065280).

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

113641057920 is a wasteful number, since it uses less digits than its factorization.

113641057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 113641057920 in words is "one hundred thirteen billion, six hundred forty-one million, fifty-seven thousand, nine hundred twenty".