66564073241 has 2 divisors, whose sum is σ = 66564073242. Its totient is φ = 66564073240.

The previous prime is 66564073211. The next prime is 66564073271. The reversal of 66564073241 is 14237046566.

It is a balanced prime because it is at equal distance from previous prime (66564073211) and next prime (66564073271).

It can be written as a sum of positive squares in only one way, i.e., 57742167616 + 8821905625 = 240296^2 + 93925^2 .

It is a cyclic number.

It is not a de Polignac number, because 66564073241 - 2¹⁴ = 66564056857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66564073192 and 66564073201.

It is not a weakly prime, because it can be changed into another prime (66564073211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33282036620 + 33282036621.

It is an arithmetic number, because the mean of its divisors is an integer number (33282036621).

Almost surely, 2^66564073241 is an apocalyptic number.

It is an amenable number.

66564073241 is a deficient number, since it is larger than the sum of its proper divisors (1).

66564073241 is an equidigital number, since it uses as much as digits as its factorization.

66564073241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 66564073241 in words is "sixty-six billion, five hundred sixty-four million, seventy-three thousand, two hundred forty-one".