66162201680657 has 2 divisors, whose sum is σ = 66162201680658. Its totient is φ = 66162201680656.

The previous prime is 66162201680651. The next prime is 66162201680711. The reversal of 66162201680657 is 75608610226166.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65222680515136 + 939521165521 = 8076056^2 + 969289^2 .

It is a cyclic number.

It is not a de Polignac number, because 66162201680657 - 2³⁰ = 66161127938833 is a prime.

It is not a weakly prime, because it can be changed into another prime (66162201680651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33081100840328 + 33081100840329.

It is an arithmetic number, because the mean of its divisors is an integer number (33081100840329).

Almost surely, 2^{66162201680657} is an apocalyptic number.

It is an amenable number.

66162201680657 is a deficient number, since it is larger than the sum of its proper divisors (1).

66162201680657 is an equidigital number, since it uses as much as digits as its factorization.

66162201680657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 66162201680657 in words is "sixty-six trillion, one hundred sixty-two billion, two hundred one million, six hundred eighty thousand, six hundred fifty-seven".