431093603104 has 48 divisors (see below), whose sum is σ = 865317955320. Its totient is φ = 211335854080.

The previous prime is 431093603089. The next prime is 431093603141. The reversal of 431093603104 is 401306390134.

It can be written as a sum of positive squares in 4 ways, for example, as 413577610000 + 17515993104 = 643100^2 + 132348^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 431093603104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2425962 + ... + 2597590.

Almost surely, 2^431093603104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431093603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432658977660).

431093603104 is an abundant number, since it is smaller than the sum of its proper divisors (434224352216).

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

431093603104 is a wasteful number, since it uses less digits than its factorization.

431093603104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173173 (or 173165 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

Adding to 431093603104 its reverse (401306390134), we get a palindrome (832399993238).

The spelling of 431093603104 in words is "four hundred thirty-one billion, ninety-three million, six hundred three thousand, one hundred four".