34142400116717 has 2 divisors, whose sum is σ = 34142400116718. Its totient is φ = 34142400116716.

The previous prime is 34142400116711. The next prime is 34142400116749. The reversal of 34142400116717 is 71761100424143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18491427627556 + 15650972489161 = 4300166^2 + 3956131^2 .

It is a cyclic number.

It is not a de Polignac number, because 34142400116717 - 2⁶ = 34142400116653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34142400116711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17071200058358 + 17071200058359.

It is an arithmetic number, because the mean of its divisors is an integer number (17071200058359).

Almost surely, 2^{34142400116717} is an apocalyptic number.

It is an amenable number.

34142400116717 is a deficient number, since it is larger than the sum of its proper divisors (1).

34142400116717 is an equidigital number, since it uses as much as digits as its factorization.

34142400116717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 34142400116717 in words is "thirty-four trillion, one hundred forty-two billion, four hundred million, one hundred sixteen thousand, seven hundred seventeen".