113553000000000 has 2400 divisors, whose sum is σ = 473776826485248. Its totient is φ = 25920000000000.

The previous prime is 113552999999987. The next prime is 113553000000017. The reversal of 113553000000000 is 355311.

It is a happy number.

113553000000000 is a `hidden beast` number, since 1 + 135 + 530 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 113553000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3068999999982 + ... + 3069000000018.

Almost surely, 2^{113553000000000} is an apocalyptic number.

113553000000000 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 113553000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236888413242624).

113553000000000 is an abundant number, since it is smaller than the sum of its proper divisors (360223826485248).

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

113553000000000 is an frugal number, since it uses more digits than its factorization.

113553000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 113553000000000 its reverse (355311), we get a palindrome (113553000355311).

The spelling of 113553000000000 in words is "one hundred thirteen trillion, five hundred fifty-three billion", and thus it is an aban number.