431114242411134 has 48 divisors (see below), whose sum is σ = 1015757245262448. Its totient is φ = 131596080350976.

The previous prime is 431114242411133. The next prime is 431114242411163.

431114242411134 is a `hidden beast` number, since 4 + 3 + 1 + 114 + 2 + 424 + 1 + 113 + 4 = 666.

431114242411134 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431114242411133) 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 23 ways as a sum of consecutive naturals, for example, 19038773452 + ... + 19038796095.

It is an arithmetic number, because the mean of its divisors is an integer number (21161609276301).

Almost surely, 2^{431114242411134} is an apocalyptic number.

431114242411134 is an abundant number, since it is smaller than the sum of its proper divisors (584643002851314).

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

431114242411134 is a wasteful number, since it uses less digits than its factorization.

431114242411134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38077569609 (or 38077569606 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 431114242411134 in words is "four hundred thirty-one trillion, one hundred fourteen billion, two hundred forty-two million, four hundred eleven thousand, one hundred thirty-four".