113486950195200 has 1680 divisors, whose sum is σ = 431839942617600. Its totient is φ = 29569841233920.

The previous prime is 113486950195183. The next prime is 113486950195253. The reversal of 113486950195200 is 2591059684311.

113486950195200 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 8 + 69 + 50 + 1 + 9 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 189460684501 + ... + 189460685099.

Almost surely, 2^{113486950195200} is an apocalyptic number.

113486950195200 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 113486950195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215919971308800).

113486950195200 is an abundant number, since it is smaller than the sum of its proper divisors (318352992422400).

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

113486950195200 is an frugal number, since it uses more digits than its factorization.

113486950195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 113486950195200 in words is "one hundred thirteen trillion, four hundred eighty-six billion, nine hundred fifty million, one hundred ninety-five thousand, two hundred".