4688934967657 has 2 divisors, whose sum is σ = 4688934967658. Its totient is φ = 4688934967656.

The previous prime is 4688934967631. The next prime is 4688934967681. The reversal of 4688934967657 is 7567694398864.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4611408361561 + 77526606096 = 2147419^2 + 278436^2 .

It is a cyclic number.

It is not a de Polignac number, because 4688934967657 - 2¹⁵ = 4688934934889 is a prime.

It is a super-2 number, since 2×4688934967657² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4688934967627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2344467483828 + 2344467483829.

It is an arithmetic number, because the mean of its divisors is an integer number (2344467483829).

Almost surely, 2^{4688934967657} is an apocalyptic number.

It is an amenable number.

4688934967657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4688934967657 is an equidigital number, since it uses as much as digits as its factorization.

4688934967657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13168189440, while the sum is 82.

The spelling of 4688934967657 in words is "four trillion, six hundred eighty-eight billion, nine hundred thirty-four million, nine hundred sixty-seven thousand, six hundred fifty-seven".