34166456017 has 2 divisors, whose sum is σ = 34166456018. Its totient is φ = 34166456016.

The previous prime is 34166455991. The next prime is 34166456021. The reversal of 34166456017 is 71065466143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30373866961 + 3792589056 = 174281^2 + 61584^2 .

It is a cyclic number.

It is not a de Polignac number, because 34166456017 - 2⁷ = 34166455889 is a prime.

It is not a weakly prime, because it can be changed into another prime (34166456717) 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 as a sum of consecutive naturals, namely, 17083228008 + 17083228009.

It is an arithmetic number, because the mean of its divisors is an integer number (17083228009).

Almost surely, 2^34166456017 is an apocalyptic number.

It is an amenable number.

34166456017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34166456017 is an equidigital number, since it uses as much as digits as its factorization.

34166456017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 34166456017 in words is "thirty-four billion, one hundred sixty-six million, four hundred fifty-six thousand, seventeen".