444516691625 has 16 divisors (see below), whose sum is σ = 556074609168. Its totient is φ = 354768624000.

The previous prime is 444516691613. The next prime is 444516691651. The reversal of 444516691625 is 526196615444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 190326277696 + 254190413929 = 436264^2 + 504173^2 .

It is not a de Polignac number, because 444516691625 - 2⁴ = 444516691609 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4170812 + ... + 4276061.

It is an arithmetic number, because the mean of its divisors is an integer number (34754663073).

Almost surely, 2^444516691625 is an apocalyptic number.

It is an amenable number.

444516691625 is a deficient number, since it is larger than the sum of its proper divisors (111557917543).

444516691625 is an equidigital number, since it uses as much as digits as its factorization.

444516691625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447309 (or 8447299 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 53.

The spelling of 444516691625 in words is "four hundred forty-four billion, five hundred sixteen million, six hundred ninety-one thousand, six hundred twenty-five".