331422431312 has 240 divisors, whose sum is σ = 802873769040. Its totient is φ = 131674669056.

The previous prime is 331422431309. The next prime is 331422431339. The reversal of 331422431312 is 213134224133.

It can be written as a sum of positive squares in 8 ways, for example, as 10948692496 + 320473738816 = 104636^2 + 566104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347767028 + ... + 347767980.

It is an arithmetic number, because the mean of its divisors is an integer number (3345307371).

Almost surely, 2^331422431312 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 331422431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401436884520).

331422431312 is an abundant number, since it is smaller than the sum of its proper divisors (471451337728).

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

331422431312 is a wasteful number, since it uses less digits than its factorization.

331422431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1345 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

Adding to 331422431312 its reverse (213134224133), we get a palindrome (544556655445).

The spelling of 331422431312 in words is "three hundred thirty-one billion, four hundred twenty-two million, four hundred thirty-one thousand, three hundred twelve".