9056226816 has 640 divisors, whose sum is σ = 34537789440. Its totient is φ = 2277310464.

The previous prime is 9056226787. The next prime is 9056226833. The reversal of 9056226816 is 6186226509.

9056226816 is a `hidden beast` number, since 9 + 0 + 5 + 622 + 6 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28933476 + ... + 28933788.

It is an arithmetic number, because the mean of its divisors is an integer number (53965296).

Almost surely, 2^9056226816 is an apocalyptic number.

9056226816 is a gapful number since it is divisible by the number (96) 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 9056226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17268894720).

9056226816 is an abundant number, since it is smaller than the sum of its proper divisors (25481562624).

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

9056226816 is a wasteful number, since it uses less digits than its factorization.

9056226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9056226816 is about 95164.2097429491. The cubic root of 9056226816 is about 2084.4065553961.

The spelling of 9056226816 in words is "nine billion, fifty-six million, two hundred twenty-six thousand, eight hundred sixteen".