113305225729698 has 54 divisors (see below), whose sum is σ = 259097429831409. Its totient is φ = 35780326634304.

The previous prime is 113305225729691. The next prime is 113305225729721. The reversal of 113305225729698 is 896927522503311.

113305225729698 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 5 + 2 + 257 + 296 + 98 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111882088869489 + 1423136860209 = 10577433^2 + 1192953^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7526793.

It is not an unprimeable number, because it can be changed into a prime (113305225729691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 857988378 + ... + 858120426.

Almost surely, 2^{113305225729698} is an apocalyptic number.

113305225729698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

113305225729698 is an abundant number, since it is smaller than the sum of its proper divisors (145792204101711).

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

113305225729698 is an frugal number, since it uses more digits than its factorization.

113305225729698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264144 (or 132073 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 113305225729698 in words is "one hundred thirteen trillion, three hundred five billion, two hundred twenty-five million, seven hundred twenty-nine thousand, six hundred ninety-eight".