331464920744448 has 240 divisors, whose sum is σ = 987976794604800. Its totient is φ = 106871376568320.

The previous prime is 331464920744413. The next prime is 331464920744473. The reversal of 331464920744448 is 844447029464133.

331464920744448 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 64 + 92 + 0 + 7 + 44 + 448 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289266783 + ... + 290410401.

It is an arithmetic number, because the mean of its divisors is an integer number (4116569977520).

Almost surely, 2^{331464920744448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331464920744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493988397302400).

331464920744448 is an abundant number, since it is smaller than the sum of its proper divisors (656511873860352).

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

331464920744448 is a wasteful number, since it uses less digits than its factorization.

331464920744448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145703 (or 1145684 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 331464920744448 in words is "three hundred thirty-one trillion, four hundred sixty-four billion, nine hundred twenty million, seven hundred forty-four thousand, four hundred forty-eight".