66262120243217 has 2 divisors, whose sum is σ = 66262120243218. Its totient is φ = 66262120243216.

The previous prime is 66262120243157. The next prime is 66262120243229. The reversal of 66262120243217 is 71234202126266.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34222546800016 + 32039573443201 = 5850004^2 + 5660351^2 .

It is a cyclic number.

It is not a de Polignac number, because 66262120243217 - 2¹⁸ = 66262119981073 is a prime.

It is not a weakly prime, because it can be changed into another prime (66262120203217) 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, 33131060121608 + 33131060121609.

It is an arithmetic number, because the mean of its divisors is an integer number (33131060121609).

Almost surely, 2^{66262120243217} is an apocalyptic number.

It is an amenable number.

66262120243217 is a deficient number, since it is larger than the sum of its proper divisors (1).

66262120243217 is an equidigital number, since it uses as much as digits as its factorization.

66262120243217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 66262120243217 in words is "sixty-six trillion, two hundred sixty-two billion, one hundred twenty million, two hundred forty-three thousand, two hundred seventeen".