228905685538560 has 648 divisors, whose sum is σ = 822731100465456. Its totient is φ = 61017627525120.

The previous prime is 228905685538547. The next prime is 228905685538591. The reversal of 228905685538560 is 65835586509822.

228905685538560 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 0 + 5 + 6 + 8 + 5 + 53 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35616254067 + ... + 35616260493.

Almost surely, 2^{228905685538560} is an apocalyptic number.

228905685538560 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 228905685538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411365550232728).

228905685538560 is an abundant number, since it is smaller than the sum of its proper divisors (593825414926896).

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

228905685538560 is an frugal number, since it uses more digits than its factorization.

228905685538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10713 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 1244160000, while the sum is 72.

The spelling of 228905685538560 in words is "two hundred twenty-eight trillion, nine hundred five billion, six hundred eighty-five million, five hundred thirty-eight thousand, five hundred sixty".