113883408000 has 768 divisors, whose sum is σ = 449340877440. Its totient is φ = 28565913600.

The previous prime is 113883407993. The next prime is 113883408011. The reversal of 113883408000 is 804388311.

113883408000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66095139 + ... + 66096861.

Almost surely, 2^113883408000 is an apocalyptic number.

113883408000 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 113883408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224670438720).

113883408000 is an abundant number, since it is smaller than the sum of its proper divisors (335457469440).

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

113883408000 is an equidigital number, since it uses as much as digits as its factorization.

113883408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 113883408000 in words is "one hundred thirteen billion, eight hundred eighty-three million, four hundred eight thousand".