431422949224134 has 96 divisors (see below), whose sum is σ = 1115551697775840. Its totient is φ = 123229580330304.

The previous prime is 431422949224129. The next prime is 431422949224147.

431422949224134 is a `hidden beast` number, since 4 + 3 + 1 + 422 + 94 + 92 + 2 + 41 + 3 + 4 = 666.

431422949224134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×431422949224134² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13003969 + ... + 32123964.

It is an arithmetic number, because the mean of its divisors is an integer number (11620330185165).

Almost surely, 2^{431422949224134} is an apocalyptic number.

431422949224134 is an abundant number, since it is smaller than the sum of its proper divisors (684128748551706).

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

431422949224134 is a wasteful number, since it uses less digits than its factorization.

431422949224134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45131571 (or 45131558 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 431422949224134 in words is "four hundred thirty-one trillion, four hundred twenty-two billion, nine hundred forty-nine million, two hundred twenty-four thousand, one hundred thirty-four".