113523724305 has 24 divisors (see below), whose sum is σ = 202092686952. Its totient is φ = 58909607424.

The previous prime is 113523724297. The next prime is 113523724309. The reversal of 113523724305 is 503427325311.

113523724305 is a `hidden beast` number, since 1 + 135 + 23 + 72 + 430 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60146091009 + 53377633296 = 245247^2 + 231036^2 .

It is not a de Polignac number, because 113523724305 - 2³ = 113523724297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113523724305.

It is not an unprimeable number, because it can be changed into a prime (113523724309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34089544 + ... + 34092873.

It is an arithmetic number, because the mean of its divisors is an integer number (8420528623).

Almost surely, 2^113523724305 is an apocalyptic number.

113523724305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113523724305 is a deficient number, since it is larger than the sum of its proper divisors (88568962647).

113523724305 is a wasteful number, since it uses less digits than its factorization.

113523724305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68182465 (or 68182462 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 113523724305 in words is "one hundred thirteen billion, five hundred twenty-three million, seven hundred twenty-four thousand, three hundred five".