8225564256 has 480 divisors, whose sum is σ = 30503708928. Its totient is φ = 2116316160.

The previous prime is 8225564251. The next prime is 8225564311. The reversal of 8225564256 is 6524655228.

It is a happy number.

8225564256 is a `hidden beast` number, since 8 + 2 + 2 + 556 + 42 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8225564251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10142091 + ... + 10142901.

Almost surely, 2^8225564256 is an apocalyptic number.

8225564256 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8225564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251854464).

8225564256 is an abundant number, since it is smaller than the sum of its proper divisors (22278144672).

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

8225564256 is a wasteful number, since it uses less digits than its factorization.

8225564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 879 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 8225564256 is about 90694.8965267616. The cubic root of 8225564256 is about 2018.6230736609.

The spelling of 8225564256 in words is "eight billion, two hundred twenty-five million, five hundred sixty-four thousand, two hundred fifty-six".