228593446227360 has 72 divisors (see below), whose sum is σ = 780075135255780. Its totient is φ = 60958252326912.

The previous prime is 228593446227359. The next prime is 228593446227403. The reversal of 228593446227360 is 63722644395822.

228593446227360 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 9 + 3 + 4 + 46 + 227 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 223306518581136 + 5286927646224 = 14943444^2 + 2299332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79372722945 + ... + 79372725824.

Almost surely, 2^{228593446227360} is an apocalyptic number.

228593446227360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228593446227360 is an abundant number, since it is smaller than the sum of its proper divisors (551481689028420).

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

228593446227360 is a wasteful number, since it uses less digits than its factorization.

228593446227360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158745448790 (or 158745448779 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 228593446227360 in words is "two hundred twenty-eight trillion, five hundred ninety-three billion, four hundred forty-six million, two hundred twenty-seven thousand, three hundred sixty".