4668864986657 has 2 divisors, whose sum is σ = 4668864986658. Its totient is φ = 4668864986656.

The previous prime is 4668864986609. The next prime is 4668864986677. The reversal of 4668864986657 is 7566894688664.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4297623371041 + 371241615616 = 2073071^2 + 609296^2 .

It is a cyclic number.

It is not a de Polignac number, because 4668864986657 - 2¹⁰ = 4668864985633 is a prime.

It is not a weakly prime, because it can be changed into another prime (4668864986677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2334432493328 + 2334432493329.

It is an arithmetic number, because the mean of its divisors is an integer number (2334432493329).

Almost surely, 2^{4668864986657} is an apocalyptic number.

It is an amenable number.

4668864986657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4668864986657 is an equidigital number, since it uses as much as digits as its factorization.

4668864986657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20065812480, while the sum is 83.

The spelling of 4668864986657 in words is "four trillion, six hundred sixty-eight billion, eight hundred sixty-four million, nine hundred eighty-six thousand, six hundred fifty-seven".