8224225344 has 168 divisors, whose sum is σ = 24169055040. Its totient is φ = 2672980992.

The previous prime is 8224225343. The next prime is 8224225363. The reversal of 8224225344 is 4435224228.

8224225344 is a `hidden beast` number, since 82 + 2 + 42 + 2 + 534 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8224225299 and 8224225308.

It is not an unprimeable number, because it can be changed into a prime (8224225343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3973942 + ... + 3976010.

Almost surely, 2^8224225344 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 8224225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12084527520).

8224225344 is an abundant number, since it is smaller than the sum of its proper divisors (15944829696).

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

8224225344 is a wasteful number, since it uses less digits than its factorization.

8224225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2244 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 8224225344 is about 90687.5148187445. The cubic root of 8224225344 is about 2018.5135409394.

The spelling of 8224225344 in words is "eight billion, two hundred twenty-four million, two hundred twenty-five thousand, three hundred forty-four".