444505846703521 has 2 divisors, whose sum is σ = 444505846703522. Its totient is φ = 444505846703520.

The previous prime is 444505846703447. The next prime is 444505846703543. The reversal of 444505846703521 is 125307648505444.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361932931966225 + 82572914737296 = 19024535^2 + 9086964^2 .

It is a cyclic number.

It is not a de Polignac number, because 444505846703521 - 2⁷ = 444505846703393 is a prime.

It is a super-2 number, since 2×444505846703521² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (444505846793521) 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, 222252923351760 + 222252923351761.

It is an arithmetic number, because the mean of its divisors is an integer number (222252923351761).

Almost surely, 2^{444505846703521} is an apocalyptic number.

It is an amenable number.

444505846703521 is a deficient number, since it is larger than the sum of its proper divisors (1).

444505846703521 is an equidigital number, since it uses as much as digits as its factorization.

444505846703521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512000, while the sum is 58.

The spelling of 444505846703521 in words is "four hundred forty-four trillion, five hundred five billion, eight hundred forty-six million, seven hundred three thousand, five hundred twenty-one".