228766809600 has 2160 divisors, whose sum is σ = 1052770118400. Its totient is φ = 48910417920.

The previous prime is 228766809577. The next prime is 228766809683. The reversal of 228766809600 is 6908667822.

228766809600 is a `hidden beast` number, since 2 + 28 + 7 + 6 + 6 + 8 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2895782361 + ... + 2895782439.

Almost surely, 2^228766809600 is an apocalyptic number.

228766809600 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 228766809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526385059200).

228766809600 is an abundant number, since it is smaller than the sum of its proper divisors (824003308800).

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

228766809600 is an equidigital number, since it uses as much as digits as its factorization.

228766809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 228766809600 in words is "two hundred twenty-eight billion, seven hundred sixty-six million, eight hundred nine thousand, six hundred".