113847552000 has 1536 divisors, whose sum is σ = 520868275200. Its totient is φ = 23887872000.

The previous prime is 113847551981. The next prime is 113847552023. The reversal of 113847552000 is 255748311.

113847552000 is a `hidden beast` number, since 1 + 1 + 384 + 75 + 5 + 200 + 0 = 666.

113847552000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×113847552000² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 628991910 + ... + 628992090.

It is an arithmetic number, because the mean of its divisors is an integer number (339106950).

Almost surely, 2^113847552000 is an apocalyptic number.

113847552000 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 113847552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260434137600).

113847552000 is an abundant number, since it is smaller than the sum of its proper divisors (407020723200).

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

113847552000 is a wasteful number, since it uses less digits than its factorization.

113847552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 113847552000 in words is "one hundred thirteen billion, eight hundred forty-seven million, five hundred fifty-two thousand".