113543958528 has 1248 divisors, whose sum is σ = 468838685952. Its totient is φ = 25480396800.

The previous prime is 113543958433. The next prime is 113543958551. The reversal of 113543958528 is 825859345311.

113543958528 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 39 + 585 + 28 = 666.

113543958528 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 (1248).

It is a congruent number.

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, 627314598 + ... + 627314778.

It is an arithmetic number, because the mean of its divisors is an integer number (375672024).

Almost surely, 2^113543958528 is an apocalyptic number.

113543958528 is a gapful number since it is divisible by the number (18) 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 113543958528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234419342976).

113543958528 is an abundant number, since it is smaller than the sum of its proper divisors (355294727424).

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

113543958528 is a wasteful number, since it uses less digits than its factorization.

113543958528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 113543958528 in words is "one hundred thirteen billion, five hundred forty-three million, nine hundred fifty-eight thousand, five hundred twenty-eight".