331142414114432 has 16 divisors (see below), whose sum is σ = 659697778118850. Its totient is φ = 165571207057152.

The previous prime is 331142414114359. The next prime is 331142414114441. The reversal of 331142414114432 is 234411414241133.

It can be written as a sum of positive squares in only one way, i.e., 233741779195456 + 97400634918976 = 15288616^2 + 9869176^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1293525055007 + ... + 1293525055262.

Almost surely, 2^{331142414114432} is an apocalyptic number.

331142414114432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331142414114432 is a deficient number, since it is larger than the sum of its proper divisors (328555364004418).

331142414114432 is an equidigital number, since it uses as much as digits as its factorization.

331142414114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587050110283 (or 2587050110271 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

Adding to 331142414114432 its reverse (234411414241133), we get a palindrome (565553828355565).

The spelling of 331142414114432 in words is "three hundred thirty-one trillion, one hundred forty-two billion, four hundred fourteen million, one hundred fourteen thousand, four hundred thirty-two".