431112444211134 has 144 divisors (see below), whose sum is σ = 1117749206012400. Its totient is φ = 119652312665088.

The previous prime is 431112444211087. The next prime is 431112444211153.

431112444211134 is a `hidden beast` number, since 4 + 3 + 1 + 112 + 4 + 4 + 421 + 113 + 4 = 666.

431112444211134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9529582 + ... + 30871310.

It is an arithmetic number, because the mean of its divisors is an integer number (7762147263975).

Almost surely, 2^{431112444211134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431112444211134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558874603006200).

431112444211134 is an abundant number, since it is smaller than the sum of its proper divisors (686636761801266).

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

431112444211134 is a wasteful number, since it uses less digits than its factorization.

431112444211134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342407 (or 21342397 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 431112444211134 in words is "four hundred thirty-one trillion, one hundred twelve billion, four hundred forty-four million, two hundred eleven thousand, one hundred thirty-four".