4432222222344 has 192 divisors, whose sum is σ = 13935220041600. Its totient is φ = 1246521249792.

The previous prime is 4432222222339. The next prime is 4432222222387.

4432222222344 is a `hidden beast` number, since 44 + 32 + 2 + 22 + 222 + 344 = 666.

4432222222344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4432222222299 and 4432222222308.

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 47 ways as a sum of consecutive naturals, for example, 8204952 + ... + 8728440.

It is an arithmetic number, because the mean of its divisors is an integer number (72579271050).

Almost surely, 2^{4432222222344} 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 4432222222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967610020800).

4432222222344 is an abundant number, since it is smaller than the sum of its proper divisors (9502997819256).

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

4432222222344 is a wasteful number, since it uses less digits than its factorization.

4432222222344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523772 (or 523765 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 4432222222344 in words is "four trillion, four hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred forty-four".