228866859970560 has 2496 divisors, whose sum is σ = 982706494049280. Its totient is φ = 49986168422400.

The previous prime is 228866859970519. The next prime is 228866859970681. The reversal of 228866859970560 is 65079958668822.

228866859970560 is a `hidden beast` number, since 2 + 288 + 66 + 85 + 99 + 70 + 56 + 0 = 666.

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 228866859970560.

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, 102036048799 + ... + 102036051041.

It is an arithmetic number, because the mean of its divisors is an integer number (393712537680).

Almost surely, 2^{228866859970560} is an apocalyptic number.

228866859970560 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 228866859970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491353247024640).

228866859970560 is an abundant number, since it is smaller than the sum of its proper divisors (753839634078720).

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

228866859970560 is a wasteful number, since it uses less digits than its factorization.

228866859970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 228866859970560 in words is "two hundred twenty-eight trillion, eight hundred sixty-six billion, eight hundred fifty-nine million, nine hundred seventy thousand, five hundred sixty".