334014431134131 has 48 divisors (see below), whose sum is σ = 526805067409920. Its totient is φ = 202248727306560.

The previous prime is 334014431134079. The next prime is 334014431134193. The reversal of 334014431134131 is 131431134410433.

334014431134131 is a `hidden beast` number, since 3 + 3 + 40 + 1 + 443 + 11 + 34 + 131 = 666.

It is not a de Polignac number, because 334014431134131 - 2⁷ = 334014431134003 is a prime.

It is a super-2 number, since 2×334014431134131² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334014431134231) by changing a digit.

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 in 47 ways as a sum of consecutive naturals, for example, 481039680 + ... + 481733538.

It is an arithmetic number, because the mean of its divisors is an integer number (10975105571040).

Almost surely, 2^{334014431134131} is an apocalyptic number.

334014431134131 is a deficient number, since it is larger than the sum of its proper divisors (192790636275789).

334014431134131 is a wasteful number, since it uses less digits than its factorization.

334014431134131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698296 (or 698293 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 334014431134131 its reverse (131431134410433), we get a palindrome (465445565544564).

The spelling of 334014431134131 in words is "three hundred thirty-four trillion, fourteen billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred thirty-one".