444846313024 has 63 divisors (see below), whose sum is σ = 888915218737. Its totient is φ = 220878458624.

The previous prime is 444846313019. The next prime is 444846313027. The reversal of 444846313024 is 420313648444.

It is a happy number.

The square root of 444846313024 is 666968.

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., 24900840000 + 419945473024 = 157800^2 + 648032^2 .

It is a super-2 number, since 2×444846313024² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444846313027) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1403300514 + ... + 1403300830.

Almost surely, 2^444846313024 is an apocalyptic number.

444846313024 is the 666968-th square number.

It is an amenable number.

444846313024 is a deficient number, since it is larger than the sum of its proper divisors (444068905713).

444846313024 is an frugal number, since it uses more digits than its factorization.

444846313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 43.

The spelling of 444846313024 in words is "four hundred forty-four billion, eight hundred forty-six million, three hundred thirteen thousand, twenty-four".