228819123072 has 256 divisors, whose sum is σ = 722158286400. Its totient is φ = 71073792000.

The previous prime is 228819123037. The next prime is 228819123097. The reversal of 228819123072 is 270321918822.

228819123072 is a `hidden beast` number, since 228 + 8 + 191 + 230 + 7 + 2 = 666.

228819123072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5914672 + ... + 5953232.

Almost surely, 2^228819123072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228819123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361079143200).

228819123072 is an abundant number, since it is smaller than the sum of its proper divisors (493339163328).

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

228819123072 is a wasteful number, since it uses less digits than its factorization.

228819123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38702 (or 38684 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 228819123072 in words is "two hundred twenty-eight billion, eight hundred nineteen million, one hundred twenty-three thousand, seventy-two".