34116456565161 has 24 divisors (see below), whose sum is σ = 50754574508040. Its totient is φ = 22066903305216.

The previous prime is 34116456565099. The next prime is 34116456565181. The reversal of 34116456565161 is 16156565461143.

34116456565161 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 6 + 4 + 565 + 65 + 16 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14840677569600 + 19275778995561 = 3852360^2 + 4390419^2 .

It is not a de Polignac number, because 34116456565161 - 2¹⁰ = 34116456564137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34116456565098 and 34116456565107.

It is not an unprimeable number, because it can be changed into a prime (34116456565181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144998346 + ... + 145233443.

It is an arithmetic number, because the mean of its divisors is an integer number (2114773937835).

Almost surely, 2^{34116456565161} is an apocalyptic number.

It is an amenable number.

34116456565161 is a deficient number, since it is larger than the sum of its proper divisors (16638117942879).

34116456565161 is a wasteful number, since it uses less digits than its factorization.

34116456565161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290232185 (or 290232182 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 34116456565161 in words is "thirty-four trillion, one hundred sixteen billion, four hundred fifty-six million, five hundred sixty-five thousand, one hundred sixty-one".