17385864543809 has 2 divisors, whose sum is σ = 17385864543810. Its totient is φ = 17385864543808.

The previous prime is 17385864543779. The next prime is 17385864543829. The reversal of 17385864543809 is 90834546858371.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16618789858225 + 767074685584 = 4076615^2 + 875828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-17385864543809 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (17385864543829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8692932271904 + 8692932271905.

It is an arithmetic number, because the mean of its divisors is an integer number (8692932271905).

Almost surely, 2^{17385864543809} is an apocalyptic number.

It is an amenable number.

17385864543809 is a deficient number, since it is larger than the sum of its proper divisors (1).

17385864543809 is an equidigital number, since it uses as much as digits as its factorization.

17385864543809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 696729600, while the sum is 71.

The spelling of 17385864543809 in words is "seventeen trillion, three hundred eighty-five billion, eight hundred sixty-four million, five hundred forty-three thousand, eight hundred nine".