331344411241312 has 96 divisors (see below), whose sum is σ = 748030787481600. Its totient is φ = 141527591083008.

The previous prime is 331344411241303. The next prime is 331344411241339. The reversal of 331344411241312 is 213142114443133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425822139 + ... + 426599557.

It is an arithmetic number, because the mean of its divisors is an integer number (7791987369600).

Almost surely, 2^{331344411241312} is an apocalyptic number.

331344411241312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331344411241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374015393740800).

331344411241312 is an abundant number, since it is smaller than the sum of its proper divisors (416686376240288).

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

331344411241312 is a wasteful number, since it uses less digits than its factorization.

331344411241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783828 (or 783820 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

Adding to 331344411241312 its reverse (213142114443133), we get a palindrome (544486525684445).

The spelling of 331344411241312 in words is "three hundred thirty-one trillion, three hundred forty-four billion, four hundred eleven million, two hundred forty-one thousand, three hundred twelve".