431352253134 has 144 divisors (see below), whose sum is σ = 1044080109072. Its totient is φ = 128589120000.

The previous prime is 431352253117. The next prime is 431352253151.

431352253134 is a `hidden beast` number, since 4 + 313 + 5 + 2 + 25 + 313 + 4 = 666.

431352253134 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (431352253117) and next prime (431352253151).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 43561584 + ... + 43571484.

It is an arithmetic number, because the mean of its divisors is an integer number (7250556313).

Almost surely, 2^431352253134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431352253134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522040054536).

431352253134 is an abundant number, since it is smaller than the sum of its proper divisors (612727855938).

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

431352253134 is a wasteful number, since it uses less digits than its factorization.

431352253134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10255 (or 10241 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 431352 and 253134, that added together give a palindrome (684486).

The spelling of 431352253134 in words is "four hundred thirty-one billion, three hundred fifty-two million, two hundred fifty-three thousand, one hundred thirty-four".