431224565422134 has 128 divisors (see below), whose sum is σ = 974319488064000. Its totient is φ = 127135642677120.

The previous prime is 431224565422117. The next prime is 431224565422177.

431224565422134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×431224565422134² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 9676717737 + ... + 9676762299.

It is an arithmetic number, because the mean of its divisors is an integer number (7611871000500).

Almost surely, 2^{431224565422134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431224565422134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487159744032000).

431224565422134 is an abundant number, since it is smaller than the sum of its proper divisors (543094922641866).

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

431224565422134 is a wasteful number, since it uses less digits than its factorization.

431224565422134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77387 (or 77365 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 48.

The spelling of 431224565422134 in words is "four hundred thirty-one trillion, two hundred twenty-four billion, five hundred sixty-five million, four hundred twenty-two thousand, one hundred thirty-four".