66888888886657 has 2 divisors, whose sum is σ = 66888888886658. Its totient is φ = 66888888886656.

The previous prime is 66888888886637. The next prime is 66888888886747. The reversal of 66888888886657 is 75668888888866.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61628842963216 + 5260045923441 = 7850404^2 + 2293479^2 .

It is a cyclic number.

It is not a de Polignac number, because 66888888886657 - 2²⁷ = 66888754668929 is a prime.

It is not a weakly prime, because it can be changed into another prime (66888888886637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33444444443328 + 33444444443329.

It is an arithmetic number, because the mean of its divisors is an integer number (33444444443329).

Almost surely, 2^{66888888886657} is an apocalyptic number.

It is an amenable number.

66888888886657 is a deficient number, since it is larger than the sum of its proper divisors (1).

66888888886657 is an equidigital number, since it uses as much as digits as its factorization.

66888888886657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 761014517760, while the sum is 100.

The spelling of 66888888886657 in words is "sixty-six trillion, eight hundred eighty-eight billion, eight hundred eighty-eight million, eight hundred eighty-six thousand, six hundred fifty-seven".