331134040431144 has 56 divisors (see below), whose sum is σ = 930888647627610. Its totient is φ = 110378013475104.

The previous prime is 331134040431133. The next prime is 331134040431169. The reversal of 331134040431144 is 441134040431133.

331134040431144 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 40 + 40 + 431 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 296614161800100 + 34519878631044 = 17222490^2 + 5875362^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 331134040431099 and 331134040431108.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 28389400927 + ... + 28389412590.

Almost surely, 2^{331134040431144} is an apocalyptic number.

It is an amenable number.

331134040431144 is an abundant number, since it is smaller than the sum of its proper divisors (599754607196466).

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

331134040431144 is an equidigital number, since it uses as much as digits as its factorization.

331134040431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56778813541 (or 56778813522 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 331134040431144 its reverse (441134040431133), we get a palindrome (772268080862277).

The spelling of 331134040431144 in words is "three hundred thirty-one trillion, one hundred thirty-four billion, forty million, four hundred thirty-one thousand, one hundred forty-four".