228605608857600 has 2808 divisors, whose sum is σ = 948064268916960. Its totient is φ = 52469233090560.

The previous prime is 228605608857599. The next prime is 228605608857721. The reversal of 228605608857600 is 6758806506822.

228605608857600 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 0 + 56 + 0 + 8 + 8 + 576 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 198270258624 + ... + 198270259776.

Almost surely, 2^{228605608857600} is an apocalyptic number.

228605608857600 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 228605608857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474032134458480).

228605608857600 is an abundant number, since it is smaller than the sum of its proper divisors (719458660059360).

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

228605608857600 is a wasteful number, since it uses less digits than its factorization.

228605608857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1262 counting only the distinct ones).

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

The spelling of 228605608857600 in words is "two hundred twenty-eight trillion, six hundred five billion, six hundred eight million, eight hundred fifty-seven thousand, six hundred".