8224313344 has 117 divisors (see below), whose sum is σ = 17973945423. Its totient is φ = 3761012736.

The previous prime is 8224313327. The next prime is 8224313347. The reversal of 8224313344 is 4433134228.

The square root of 8224313344 is 90688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 287641600 + 7936671744 = 16960^2 + 89088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8224313347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75452362 + ... + 75452470.

Almost surely, 2^8224313344 is an apocalyptic number.

8224313344 is the 90688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8224313344

8224313344 is an abundant number, since it is smaller than the sum of its proper divisors (9749632079).

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

8224313344 is an equidigital number, since it uses as much as digits as its factorization.

8224313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 124 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The cubic root of 8224313344 is about 2018.5207403432.

The spelling of 8224313344 in words is "eight billion, two hundred twenty-four million, three hundred thirteen thousand, three hundred forty-four".