113509416961 has 4 divisors (see below), whose sum is σ = 113984352000. Its totient is φ = 113034481924.

The previous prime is 113509416953. The next prime is 113509416991. The reversal of 113509416961 is 169614905311.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 169614905311 = 233 ⋅727960967.

It is a cyclic number.

It is not a de Polignac number, because 113509416961 - 2³ = 113509416953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113509416991) 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 3 ways as a sum of consecutive naturals, for example, 237467161 + ... + 237467638.

It is an arithmetic number, because the mean of its divisors is an integer number (28496088000).

Almost surely, 2^113509416961 is an apocalyptic number.

It is an amenable number.

113509416961 is a deficient number, since it is larger than the sum of its proper divisors (474935039).

113509416961 is an equidigital number, since it uses as much as digits as its factorization.

113509416961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474935038.

The product of its (nonzero) digits is 174960, while the sum is 46.

The spelling of 113509416961 in words is "one hundred thirteen billion, five hundred nine million, four hundred sixteen thousand, nine hundred sixty-one".