228589845120 has 1536 divisors, whose sum is σ = 1068566688000. Its totient is φ = 45649723392.

The previous prime is 228589845083. The next prime is 228589845131. The reversal of 228589845120 is 21548985822.

228589845120 is a `hidden beast` number, since 2 + 2 + 8 + 589 + 8 + 4 + 51 + 2 + 0 = 666.

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

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, 209139294 + ... + 209140386.

Almost surely, 2^228589845120 is an apocalyptic number.

228589845120 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 228589845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534283344000).

228589845120 is an abundant number, since it is smaller than the sum of its proper divisors (839976842880).

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

228589845120 is a wasteful number, since it uses less digits than its factorization.

228589845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 228589845120 in words is "two hundred twenty-eight billion, five hundred eighty-nine million, eight hundred forty-five thousand, one hundred twenty".