228312960358080 has 448 divisors, whose sum is σ = 786669948973440. Its totient is φ = 55768020811776.

The previous prime is 228312960357997. The next prime is 228312960358097. The reversal of 228312960358080 is 80853069213822.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 228312960358080.

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, 1483158556 + ... + 1483312484.

It is an arithmetic number, because the mean of its divisors is an integer number (1755959707530).

Almost surely, 2^{228312960358080} is an apocalyptic number.

228312960358080 is a gapful number since it is divisible by the number (20) 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 228312960358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393334974486720).

228312960358080 is an abundant number, since it is smaller than the sum of its proper divisors (558356988615360).

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

228312960358080 is a wasteful number, since it uses less digits than its factorization.

228312960358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154876 (or 154866 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 228312960358080 in words is "two hundred twenty-eight trillion, three hundred twelve billion, nine hundred sixty million, three hundred fifty-eight thousand, eighty".