113488043604480 has 800 divisors, whose sum is σ = 412709530774464. Its totient is φ = 29801919873024.

The previous prime is 113488043604449. The next prime is 113488043604487. The reversal of 113488043604480 is 84406340884311.

113488043604480 is a `hidden beast` number, since 1 + 1 + 3 + 48 + 80 + 43 + 6 + 0 + 4 + 480 = 666.

113488043604480 is digitally balanced in base 4, 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 (54).

It is not an unprimeable number, because it can be changed into a prime (113488043604487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5386994907 + ... + 5387015973.

Almost surely, 2^{113488043604480} is an apocalyptic number.

113488043604480 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 113488043604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206354765387232).

113488043604480 is an abundant number, since it is smaller than the sum of its proper divisors (299221487169984).

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

113488043604480 is an equidigital number, since it uses as much as digits as its factorization.

113488043604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21498 (or 21473 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 113488043604480 in words is "one hundred thirteen trillion, four hundred eighty-eight billion, forty-three million, six hundred four thousand, four hundred eighty".