228657215868300 has 144 divisors (see below), whose sum is σ = 735124993051680. Its totient is φ = 60972405108480.

The previous prime is 228657215868287. The next prime is 228657215868317. The reversal of 228657215868300 is 3868512756822.

228657215868300 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 57 + 215 + 8 + 68 + 300 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56060974 + ... + 60001226.

It is an arithmetic number, because the mean of its divisors is an integer number (5105034673970).

Almost surely, 2^{228657215868300} is an apocalyptic number.

228657215868300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228657215868300 is an abundant number, since it is smaller than the sum of its proper divisors (506467777183380).

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

228657215868300 is a wasteful number, since it uses less digits than its factorization.

228657215868300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961769 (or 3961756 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 228657215868300 in words is "two hundred twenty-eight trillion, six hundred fifty-seven billion, two hundred fifteen million, eight hundred sixty-eight thousand, three hundred".