228216616056 has 576 divisors, whose sum is σ = 751962294720. Its totient is φ = 62092800000.

The previous prime is 228216616037. The next prime is 228216616073. The reversal of 228216616056 is 650616612822.

228216616056 is a `hidden beast` number, since 2 + 2 + 8 + 21 + 6 + 616 + 0 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 812158636 + ... + 812158916.

It is an arithmetic number, because the mean of its divisors is an integer number (1305490095).

Almost surely, 2^228216616056 is an apocalyptic number.

228216616056 is a gapful number since it is divisible by the number (26) 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 228216616056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375981147360).

228216616056 is an abundant number, since it is smaller than the sum of its proper divisors (523745678664).

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

228216616056 is a wasteful number, since it uses less digits than its factorization.

228216616056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 228216616056 in words is "two hundred twenty-eight billion, two hundred sixteen million, six hundred sixteen thousand, fifty-six".