331444306944 has 165 divisors, whose sum is σ = 990252873687. Its totient is φ = 110426167296.

The previous prime is 331444306939. The next prime is 331444306961. The reversal of 331444306944 is 449603444133.

The square root of 331444306944 is 575712.

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

331444306944 is a `hidden beast` number, since 33 + 144 + 430 + 6 + 9 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 331444306944.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 165804057 + ... + 165806055.

Almost surely, 2^331444306944 is an apocalyptic number.

331444306944 is the 575712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331444306944

331444306944 is an abundant number, since it is smaller than the sum of its proper divisors (658808566743).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331444306944 is an frugal number, since it uses more digits than its factorization.

331444306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 331444306944 in words is "three hundred thirty-one billion, four hundred forty-four million, three hundred six thousand, nine hundred forty-four".