688626164729 has 2 divisors, whose sum is σ = 688626164730. Its totient is φ = 688626164728.

The previous prime is 688626164717. The next prime is 688626164747. The reversal of 688626164729 is 927461626886.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 632618209129 + 56007955600 = 795373^2 + 236660^2 .

It is a cyclic number.

It is not a de Polignac number, because 688626164729 - 2²⁴ = 688609387513 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 (688626164029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344313082364 + 344313082365.

It is an arithmetic number, because the mean of its divisors is an integer number (344313082365).

Almost surely, 2^688626164729 is an apocalyptic number.

It is an amenable number.

688626164729 is a deficient number, since it is larger than the sum of its proper divisors (1).

688626164729 is an equidigital number, since it uses as much as digits as its factorization.

688626164729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 83607552, while the sum is 65.

The spelling of 688626164729 in words is "six hundred eighty-eight billion, six hundred twenty-six million, one hundred sixty-four thousand, seven hundred twenty-nine".