431113054464 has 81 divisors (see below), whose sum is σ = 1243096093603. Its totient is φ = 143693846016.

The previous prime is 431113054451. The next prime is 431113054553. The reversal of 431113054464 is 464450311134.

The square root of 431113054464 is 656592.

It is a perfect power (a square), and thus also a powerful number.

431113054464 is a `hidden beast` number, since 4 + 3 + 11 + 130 + 54 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31509577 + ... + 31523255.

Almost surely, 2^431113054464 is an apocalyptic number.

431113054464 is the 656592-nd square number.

It is an amenable number.

431113054464 is an abundant number, since it is smaller than the sum of its proper divisors (811983039139).

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

431113054464 is an frugal number, since it uses more digits than its factorization.

431113054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27380 (or 13684 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 431113054464 by its sum of digits (36), we get a square (15520069960704 = 3939552²).

431113054464 divided by its sum of digits (36) gives a square (11975362624 = 109432²).

Adding to 431113054464 its reverse (464450311134), we get a palindrome (895563365598).

The spelling of 431113054464 in words is "four hundred thirty-one billion, one hundred thirteen million, fifty-four thousand, four hundred sixty-four".