422231141132224 has 112 divisors (see below), whose sum is σ = 855624899717568. Its totient is φ = 206683692761088.

The previous prime is 422231141132161. The next prime is 422231141132291.

It is a happy number.

422231141132224 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 422231141132224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8299684452 + ... + 8299735324.

Almost surely, 2^{422231141132224} 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 422231141132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427812449858784).

422231141132224 is an abundant number, since it is smaller than the sum of its proper divisors (433393758585344).

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

422231141132224 is a wasteful number, since it uses less digits than its factorization.

422231141132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64062 (or 64052 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 422231141132224 in words is "four hundred twenty-two trillion, two hundred thirty-one billion, one hundred forty-one million, one hundred thirty-two thousand, two hundred twenty-four".