688778161025417 has 2 divisors, whose sum is σ = 688778161025418. Its totient is φ = 688778161025416.

The previous prime is 688778161025377. The next prime is 688778161025431. The reversal of 688778161025417 is 714520161877886.

688778161025417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672736061368336 + 16042099657081 = 25937156^2 + 4005259^2 .

It is a cyclic number.

It is not a de Polignac number, because 688778161025417 - 2²⁸ = 688777892589961 is a prime.

It is not a weakly prime, because it can be changed into another prime (688778161325417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344389080512708 + 344389080512709.

It is an arithmetic number, because the mean of its divisors is an integer number (344389080512709).

Almost surely, 2^{688778161025417} is an apocalyptic number.

It is an amenable number.

688778161025417 is a deficient number, since it is larger than the sum of its proper divisors (1).

688778161025417 is an equidigital number, since it uses as much as digits as its factorization.

688778161025417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252887040, while the sum is 71.

The spelling of 688778161025417 in words is "six hundred eighty-eight trillion, seven hundred seventy-eight billion, one hundred sixty-one million, twenty-five thousand, four hundred seventeen".