34911535680017 has 2 divisors, whose sum is σ = 34911535680018. Its totient is φ = 34911535680016.

The previous prime is 34911535679939. The next prime is 34911535680031. The reversal of 34911535680017 is 71008653511943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20254284226576 + 14657251453441 = 4500476^2 + 3828479^2 .

It is a cyclic number.

It is not a de Polignac number, because 34911535680017 - 2²⁴ = 34911518902801 is a prime.

It is a super-2 number, since 2×34911535680017² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34911535980017) 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, 17455767840008 + 17455767840009.

It is an arithmetic number, because the mean of its divisors is an integer number (17455767840009).

Almost surely, 2^{34911535680017} is an apocalyptic number.

It is an amenable number.

34911535680017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34911535680017 is an equidigital number, since it uses as much as digits as its factorization.

34911535680017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 34911535680017 in words is "thirty-four trillion, nine hundred eleven billion, five hundred thirty-five million, six hundred eighty thousand, seventeen".