113191192800 has 1728 divisors, whose sum is σ = 521291635200. Its totient is φ = 23141376000.

The previous prime is 113191192771. The next prime is 113191192823. The reversal of 113191192800 is 8291191311.

It is a super-2 number, since 2×113191192800² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2760760780 + ... + 2760760820.

It is an arithmetic number, because the mean of its divisors is an integer number (301673400).

Almost surely, 2^113191192800 is an apocalyptic number.

113191192800 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 113191192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260645817600).

113191192800 is an abundant number, since it is smaller than the sum of its proper divisors (408100442400).

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

113191192800 is a wasteful number, since it uses less digits than its factorization.

113191192800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 113191192800 in words is "one hundred thirteen billion, one hundred ninety-one million, one hundred ninety-two thousand, eight hundred".