113789611728 has 480 divisors, whose sum is σ = 363435072000. Its totient is φ = 34062612480.

The previous prime is 113789611723. The next prime is 113789611739. The reversal of 113789611728 is 827116987311.

113789611728 is a `hidden beast` number, since 1 + 13 + 7 + 8 + 9 + 611 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113789611723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628671798 + ... + 628671978.

It is an arithmetic number, because the mean of its divisors is an integer number (757156400).

Almost surely, 2^113789611728 is an apocalyptic number.

113789611728 is a gapful number since it is divisible by the number (18) 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 113789611728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181717536000).

113789611728 is an abundant number, since it is smaller than the sum of its proper divisors (249645460272).

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

113789611728 is a wasteful number, since it uses less digits than its factorization.

113789611728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The spelling of 113789611728 in words is "one hundred thirteen billion, seven hundred eighty-nine million, six hundred eleven thousand, seven hundred twenty-eight".