228661102656 has 896 divisors, whose sum is σ = 828587827200. Its totient is φ = 61191770112.

The previous prime is 228661102639. The next prime is 228661102667. The reversal of 228661102656 is 656201166822.

228661102656 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 611 + 0 + 26 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1645043835 + ... + 1645043973.

It is an arithmetic number, because the mean of its divisors is an integer number (924763200).

Almost surely, 2^228661102656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228661102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414293913600).

228661102656 is an abundant number, since it is smaller than the sum of its proper divisors (599926724544).

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

228661102656 is an equidigital number, since it uses as much as digits as its factorization.

228661102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 228661102656 in words is "two hundred twenty-eight billion, six hundred sixty-one million, one hundred two thousand, six hundred fifty-six".