226568561280 has 256 divisors, whose sum is σ = 761331916800. Its totient is φ = 57152950272.

The previous prime is 226568561269. The next prime is 226568561357. The reversal of 226568561280 is 82165865622.

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 31 ways as a sum of consecutive naturals, for example, 26516689 + ... + 26525231.

It is an arithmetic number, because the mean of its divisors is an integer number (2973952800).

Almost surely, 2^226568561280 is an apocalyptic number.

226568561280 is a gapful number since it is divisible by the number (20) 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 226568561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380665958400).

226568561280 is an abundant number, since it is smaller than the sum of its proper divisors (534763355520).

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

226568561280 is a wasteful number, since it uses less digits than its factorization.

226568561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 226568561280 in words is "two hundred twenty-six billion, five hundred sixty-eight million, five hundred sixty-one thousand, two hundred eighty".