228325616064 has 1344 divisors, whose sum is σ = 896275860480. Its totient is φ = 53880422400.

The previous prime is 228325616041. The next prime is 228325616093. The reversal of 228325616064 is 460616523822.

228325616064 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 25 + 616 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2260649614 + ... + 2260649714.

It is an arithmetic number, because the mean of its divisors is an integer number (666871920).

Almost surely, 2^228325616064 is an apocalyptic number.

228325616064 is a gapful number since it is divisible by the number (24) 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 228325616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448137930240).

228325616064 is an abundant number, since it is smaller than the sum of its proper divisors (667950244416).

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

228325616064 is a wasteful number, since it uses less digits than its factorization.

228325616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 228325616064 in words is "two hundred twenty-eight billion, three hundred twenty-five million, six hundred sixteen thousand, sixty-four".