331342404124014 has 160 divisors (see below), whose sum is σ = 765546519133440. Its totient is φ = 107066524032000.

The previous prime is 331342404124013. The next prime is 331342404124051. The reversal of 331342404124014 is 410421404243133.

331342404124014 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 4 + 2 + 404 + 1 + 240 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 331342404124014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331342404124013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 414983254 + ... + 415780934.

It is an arithmetic number, because the mean of its divisors is an integer number (4784665744584).

Almost surely, 2^{331342404124014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331342404124014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382773259566720).

331342404124014 is an abundant number, since it is smaller than the sum of its proper divisors (434204115009426).

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

331342404124014 is a wasteful number, since it uses less digits than its factorization.

331342404124014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798328 (or 798319 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 331342404124014 its reverse (410421404243133), we get a palindrome (741763808367147).

The spelling of 331342404124014 in words is "three hundred thirty-one trillion, three hundred forty-two billion, four hundred four million, one hundred twenty-four thousand, fourteen".