228218301222912 has 4680 divisors, whose sum is σ = 969365230460640. Its totient is φ = 51127690199040.

The previous prime is 228218301222869. The next prime is 228218301222929. The reversal of 228218301222912 is 219222103812822.

228218301222912 is a `hidden beast` number, since 2 + 28 + 2 + 18 + 301 + 22 + 291 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3126278098908 + ... + 3126278098980.

It is an arithmetic number, because the mean of its divisors is an integer number (207129322748).

Almost surely, 2^{228218301222912} is an apocalyptic number.

228218301222912 is a gapful number since it is divisible by the number (22) 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 228218301222912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484682615230320).

228218301222912 is an abundant number, since it is smaller than the sum of its proper divisors (741146929237728).

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

228218301222912 is a wasteful number, since it uses less digits than its factorization.

228218301222912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 228218301222912 in words is "two hundred twenty-eight trillion, two hundred eighteen billion, three hundred one million, two hundred twenty-two thousand, nine hundred twelve".