422233444332224 has 112 divisors (see below), whose sum is σ = 960577422504000. Its totient is φ = 180388228939776.

The previous prime is 422233444332221. The next prime is 422233444332251.

422233444332224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (422233444332221) by changing a digit.

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, 561396932 + ... + 562148540.

It is an arithmetic number, because the mean of its divisors is an integer number (8576584129500).

Almost surely, 2^{422233444332224} 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 422233444332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480288711252000).

422233444332224 is an abundant number, since it is smaller than the sum of its proper divisors (538343978171776).

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

422233444332224 is a wasteful number, since it uses less digits than its factorization.

422233444332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755570 (or 755560 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

The spelling of 422233444332224 in words is "four hundred twenty-two trillion, two hundred thirty-three billion, four hundred forty-four million, three hundred thirty-two thousand, two hundred twenty-four".