431256363652134 has 64 divisors (see below), whose sum is σ = 1014942275297280. Its totient is φ = 135266591468160.

The previous prime is 431256363652133. The next prime is 431256363652171.

It is a happy number.

431256363652134 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 5 + 6 + 363 + 65 + 213 + 4 = 666.

431256363652134 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431256363652133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47045062 + ... + 55459449.

It is an arithmetic number, because the mean of its divisors is an integer number (15858473051520).

Almost surely, 2^{431256363652134} is an apocalyptic number.

431256363652134 is an abundant number, since it is smaller than the sum of its proper divisors (583685911645146).

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

431256363652134 is a wasteful number, since it uses less digits than its factorization.

431256363652134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102509122 (or 102509116 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 431256363652134 in words is "four hundred thirty-one trillion, two hundred fifty-six billion, three hundred sixty-three million, six hundred fifty-two thousand, one hundred thirty-four".