228146408856 has 192 divisors, whose sum is σ = 650039869440. Its totient is φ = 72197568000.

The previous prime is 228146408849. The next prime is 228146408873. The reversal of 228146408856 is 658804641822.

228146408856 is a `hidden beast` number, since 22 + 81 + 464 + 0 + 8 + 85 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31117111 + ... + 31124441.

It is an arithmetic number, because the mean of its divisors is an integer number (3385624320).

Almost surely, 2^228146408856 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 228146408856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325019934720).

228146408856 is an abundant number, since it is smaller than the sum of its proper divisors (421893460584).

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

228146408856 is a wasteful number, since it uses less digits than its factorization.

228146408856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 228146408856 in words is "two hundred twenty-eight billion, one hundred forty-six million, four hundred eight thousand, eight hundred fifty-six".