228809566080 has 768 divisors, whose sum is σ = 866121984000. Its totient is φ = 55435001856.

The previous prime is 228809566067. The next prime is 228809566087. The reversal of 228809566080 is 80665908822.

228809566080 is a `hidden beast` number, since 2 + 28 + 8 + 0 + 9 + 5 + 6 + 608 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228809566087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381985621 + ... + 381986219.

It is an arithmetic number, because the mean of its divisors is an integer number (1127763000).

Almost surely, 2^228809566080 is an apocalyptic number.

228809566080 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 228809566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433060992000).

228809566080 is an abundant number, since it is smaller than the sum of its proper divisors (637312417920).

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

228809566080 is a wasteful number, since it uses less digits than its factorization.

228809566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 228809566080 in words is "two hundred twenty-eight billion, eight hundred nine million, five hundred sixty-six thousand, eighty".