4688966116577 has 2 divisors, whose sum is σ = 4688966116578. Its totient is φ = 4688966116576.

The previous prime is 4688966116511. The next prime is 4688966116663. The reversal of 4688966116577 is 7756116698864.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4597490718976 + 91475397601 = 2144176^2 + 302449^2 .

It is a cyclic number.

It is not a de Polignac number, because 4688966116577 - 2²² = 4688961922273 is a prime.

It is not a weakly prime, because it can be changed into another prime (4688966119577) 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, 2344483058288 + 2344483058289.

It is an arithmetic number, because the mean of its divisors is an integer number (2344483058289).

Almost surely, 2^{4688966116577} is an apocalyptic number.

It is an amenable number.

4688966116577 is a deficient number, since it is larger than the sum of its proper divisors (1).

4688966116577 is an equidigital number, since it uses as much as digits as its factorization.

4688966116577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 731566080, while the sum is 74.

The spelling of 4688966116577 in words is "four trillion, six hundred eighty-eight billion, nine hundred sixty-six million, one hundred sixteen thousand, five hundred seventy-seven".