228224813456584 has 256 divisors, whose sum is σ = 527897530368000. Its totient is φ = 92337178348800.

The previous prime is 228224813456557. The next prime is 228224813456597. The reversal of 228224813456584 is 485654318422822.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586832274 + ... + 587221054.

It is an arithmetic number, because the mean of its divisors is an integer number (2062099728000).

Almost surely, 2^{228224813456584} 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 228224813456584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263948765184000).

228224813456584 is an abundant number, since it is smaller than the sum of its proper divisors (299672716911416).

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

228224813456584 is a wasteful number, since it uses less digits than its factorization.

228224813456584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389009 (or 388991 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 64.

The spelling of 228224813456584 in words is "two hundred twenty-eight trillion, two hundred twenty-four billion, eight hundred thirteen million, four hundred fifty-six thousand, five hundred eighty-four".