444925018729 has 9 divisors (see below), whose sum is σ = 459761787351. Its totient is φ = 430552587960.

The previous prime is 444925018721. The next prime is 444925018739. The reversal of 444925018729 is 927810529444.

The square root of 444925018729 is 667027.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 157573272025 + 287351746704 = 396955^2 + 536052^2 .

It is not a de Polignac number, because 444925018729 - 2³ = 444925018721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444925018729.

It is not an unprimeable number, because it can be changed into a prime (444925018721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20667079 + ... + 20688595.

It is an arithmetic number, because the mean of its divisors is an integer number (51084643039).

Almost surely, 2^444925018729 is an apocalyptic number.

444925018729 is the 667027-th square number.

444925018729 is the 333514-th centered octagonal number.

It is an amenable number.

444925018729 is a deficient number, since it is larger than the sum of its proper divisors (14836768622).

444925018729 is an frugal number, since it uses more digits than its factorization.

444925018729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43096 (or 21548 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 444925018729 in words is "four hundred forty-four billion, nine hundred twenty-five million, eighteen thousand, seven hundred twenty-nine".