113866300800 has 1344 divisors, whose sum is σ = 508732915200. Its totient is φ = 24589578240.

The previous prime is 113866300763. The next prime is 113866300811. The reversal of 113866300800 is 8003668311.

113866300800 is a `hidden beast` number, since 1 + 13 + 8 + 6 + 630 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 167 ways as a sum of consecutive naturals, for example, 310262217 + ... + 310262583.

Almost surely, 2^113866300800 is an apocalyptic number.

113866300800 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 113866300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254366457600).

113866300800 is an abundant number, since it is smaller than the sum of its proper divisors (394866614400).

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

113866300800 is an equidigital number, since it uses as much as digits as its factorization.

113866300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 113866300800 in words is "one hundred thirteen billion, eight hundred sixty-six million, three hundred thousand, eight hundred".