113509466577 has 96 divisors (see below), whose sum is σ = 190981190400. Its totient is φ = 64406555136.

The previous prime is 113509466563. The next prime is 113509466627. The reversal of 113509466577 is 775664905311.

113509466577 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 9 + 4 + 66 + 577 = 666.

It is not a de Polignac number, because 113509466577 - 2⁷ = 113509466449 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (113509466507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10847574 + ... + 10858032.

It is an arithmetic number, because the mean of its divisors is an integer number (1989387400).

Almost surely, 2^113509466577 is an apocalyptic number.

It is an amenable number.

113509466577 is a deficient number, since it is larger than the sum of its proper divisors (77471723823).

113509466577 is a wasteful number, since it uses less digits than its factorization.

113509466577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 113509466577 in words is "one hundred thirteen billion, five hundred nine million, four hundred sixty-six thousand, five hundred seventy-seven".