444411816566657 has 2 divisors, whose sum is σ = 444411816566658. Its totient is φ = 444411816566656.

The previous prime is 444411816566579. The next prime is 444411816566719. The reversal of 444411816566657 is 756665618114444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 431715144395536 + 12696672171121 = 20777756^2 + 3563239^2 .

It is a cyclic number.

It is not a de Polignac number, because 444411816566657 - 2²⁰ = 444411815518081 is a prime.

It is a super-4 number, since 4×444411816566657⁴ (a number of 60 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (444411816562657) 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 as a sum of consecutive naturals, namely, 222205908283328 + 222205908283329.

It is an arithmetic number, because the mean of its divisors is an integer number (222205908283329).

Almost surely, 2^{444411816566657} is an apocalyptic number.

It is an amenable number.

444411816566657 is a deficient number, since it is larger than the sum of its proper divisors (1).

444411816566657 is an equidigital number, since it uses as much as digits as its factorization.

444411816566657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 464486400, while the sum is 68.

The spelling of 444411816566657 in words is "four hundred forty-four trillion, four hundred eleven billion, eight hundred sixteen million, five hundred sixty-six thousand, six hundred fifty-seven".