113352527904 has 288 divisors, whose sum is σ = 378313286400. Its totient is φ = 29386344960.

The previous prime is 113352527891. The next prime is 113352527909. The reversal of 113352527904 is 409725253311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (113352527909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32027767 + ... + 32031305.

It is an arithmetic number, because the mean of its divisors is an integer number (1313587800).

Almost surely, 2^113352527904 is an apocalyptic number.

113352527904 is a gapful number since it is divisible by the number (14) 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 113352527904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189156643200).

113352527904 is an abundant number, since it is smaller than the sum of its proper divisors (264960758496).

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

113352527904 is a wasteful number, since it uses less digits than its factorization.

113352527904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 113352527904 in words is "one hundred thirteen billion, three hundred fifty-two million, five hundred twenty-seven thousand, nine hundred four".