228669897415680 has 5280 divisors, whose sum is σ = 1039113146966400. Its totient is φ = 48037555077120.

The previous prime is 228669897415679. The next prime is 228669897415691. The reversal of 228669897415680 is 86514798966822.

228669897415680 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 6 + 9 + 8 + 9 + 7 + 41 + 568 + 0 = 666.

It is a super-2 number, since 2×228669897415680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 228669897415680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3132464348124 + ... + 3132464348196.

It is an arithmetic number, because the mean of its divisors is an integer number (196801732380).

Almost surely, 2^{228669897415680} is an apocalyptic number.

228669897415680 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 228669897415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519556573483200).

228669897415680 is an abundant number, since it is smaller than the sum of its proper divisors (810443249550720).

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

228669897415680 is an equidigital number, since it uses as much as digits as its factorization.

228669897415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 228669897415680 in words is "two hundred twenty-eight trillion, six hundred sixty-nine billion, eight hundred ninety-seven million, four hundred fifteen thousand, six hundred eighty".