113823191900160 has 1344 divisors, whose sum is σ = 434959439870592. Its totient is φ = 28454468714496.

The previous prime is 113823191900129. The next prime is 113823191900207. The reversal of 113823191900160 is 61009191328311.

113823191900160 is a `hidden beast` number, since 1 + 13 + 82 + 319 + 1 + 90 + 0 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47885228892 + ... + 47885231268.

It is an arithmetic number, because the mean of its divisors is an integer number (323630535618).

Almost surely, 2^{113823191900160} is an apocalyptic number.

113823191900160 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 113823191900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217479719935296).

113823191900160 is an abundant number, since it is smaller than the sum of its proper divisors (321136247970432).

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

113823191900160 is an equidigital number, since it uses as much as digits as its factorization.

113823191900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 113823191900160 in words is "one hundred thirteen trillion, eight hundred twenty-three billion, one hundred ninety-one million, nine hundred thousand, one hundred sixty".