431455505554134 has 32 divisors (see below), whose sum is σ = 961293380567040. Its totient is φ = 143442996617736.

The previous prime is 431455505554133. The next prime is 431455505554193.

431455505554134 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 5 + 5 + 50 + 5 + 554 + 1 + 34 = 666.

431455505554134 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 (431455505554133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10430680062 + ... + 10430721425.

It is an arithmetic number, because the mean of its divisors is an integer number (30040418142720).

Almost surely, 2^{431455505554134} is an apocalyptic number.

431455505554134 is an abundant number, since it is smaller than the sum of its proper divisors (529837875012906).

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

431455505554134 is a wasteful number, since it uses less digits than its factorization.

431455505554134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20861401881 (or 20861401875 counting only the distinct ones).

The product of its (nonzero) digits is 36000000, while the sum is 54.

It can be divided in two parts, 43145550 and 5554134, that added together give a palindrome (48699684).

The spelling of 431455505554134 in words is "four hundred thirty-one trillion, four hundred fifty-five billion, five hundred five million, five hundred fifty-four thousand, one hundred thirty-four".