228769825680 has 480 divisors, whose sum is σ = 885165345792. Its totient is φ = 52405478400.

The previous prime is 228769825637. The next prime is 228769825729. The reversal of 228769825680 is 86528967822.

228769825680 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 69 + 8 + 2 + 568 + 0 = 666.

228769825680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15111715 + ... + 15126845.

Almost surely, 2^228769825680 is an apocalyptic number.

228769825680 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 228769825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442582672896).

228769825680 is an abundant number, since it is smaller than the sum of its proper divisors (656395520112).

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

228769825680 is a wasteful number, since it uses less digits than its factorization.

228769825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15267 (or 15258 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 228769825680 in words is "two hundred twenty-eight billion, seven hundred sixty-nine million, eight hundred twenty-five thousand, six hundred eighty".