331201413144 has 48 divisors (see below), whose sum is σ = 1025147232720. Its totient is φ = 94628975040.

The previous prime is 331201413133. The next prime is 331201413163. The reversal of 331201413144 is 441314102133.

331201413144 is a `hidden beast` number, since 3 + 3 + 1 + 201 + 413 + 1 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328572327 + ... + 328573334.

It is an arithmetic number, because the mean of its divisors is an integer number (21357234015).

Almost surely, 2^331201413144 is an apocalyptic number.

It is an amenable number.

331201413144 is an abundant number, since it is smaller than the sum of its proper divisors (693945819576).

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

331201413144 is a wasteful number, since it uses less digits than its factorization.

331201413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657145680 (or 657145673 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331201413144 its reverse (441314102133), we get a palindrome (772515515277).

The spelling of 331201413144 in words is "three hundred thirty-one billion, two hundred one million, four hundred thirteen thousand, one hundred forty-four".