228330687831120 has 960 divisors, whose sum is σ = 900606128947200. Its totient is φ = 50766296555520.

The previous prime is 228330687831109. The next prime is 228330687831221. The reversal of 228330687831120 is 21138786033822.

228330687831120 is a `hidden beast` number, since 2 + 283 + 306 + 8 + 7 + 8 + 31 + 1 + 20 = 666.

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, 60581236596 + ... + 60581240364.

It is an arithmetic number, because the mean of its divisors is an integer number (938131384320).

Almost surely, 2^{228330687831120} is an apocalyptic number.

228330687831120 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 228330687831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450303064473600).

228330687831120 is an abundant number, since it is smaller than the sum of its proper divisors (672275441116080).

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

228330687831120 is a wasteful number, since it uses less digits than its factorization.

228330687831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 228330687831120 in words is "two hundred twenty-eight trillion, three hundred thirty billion, six hundred eighty-seven million, eight hundred thirty-one thousand, one hundred twenty".