66208308577317 has 12 divisors (see below), whose sum is σ = 101259766059660. Its totient is φ = 41542468126848.

The previous prime is 66208308577223. The next prime is 66208308577319. The reversal of 66208308577317 is 71377580380266.

66208308577317 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 8 + 308 + 5 + 7 + 7 + 317 = 666.

66208308577317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60575727207681 + 5632581369636 = 7783041^2 + 2373306^2 .

It is not a de Polignac number, because 66208308577317 - 2³⁶ = 66139589100581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66208308577319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216367021342 + ... + 216367021647.

It is an arithmetic number, because the mean of its divisors is an integer number (8438313838305).

Almost surely, 2^{66208308577317} is an apocalyptic number.

It is an amenable number.

66208308577317 is a deficient number, since it is larger than the sum of its proper divisors (35051457482343).

66208308577317 is a wasteful number, since it uses less digits than its factorization.

66208308577317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432734043012 (or 432734043009 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 66208308577317 in words is "sixty-six trillion, two hundred eight billion, three hundred eight million, five hundred seventy-seven thousand, three hundred seventeen".