331298420544 has 1792 divisors, whose sum is σ = 1347297280000. Its totient is φ = 79009136640.

The previous prime is 331298420501. The next prime is 331298420561. The reversal of 331298420544 is 445024892133.

331298420544 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 9 + 84 + 20 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 331298420544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4538334492 + ... + 4538334564.

It is an arithmetic number, because the mean of its divisors is an integer number (751840000).

Almost surely, 2^331298420544 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 331298420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673648640000).

331298420544 is an abundant number, since it is smaller than the sum of its proper divisors (1015998859456).

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

331298420544 is a wasteful number, since it uses less digits than its factorization.

331298420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 331298420544 in words is "three hundred thirty-one billion, two hundred ninety-eight million, four hundred twenty thousand, five hundred forty-four".