18845568 has 256 divisors, whose sum is σ = 68544000. Its totient is φ = 4976640.

The previous prime is 18845531. The next prime is 18845569. The reversal of 18845568 is 86554881.

18845568 is a `hidden beast` number, since 1 + 8 + 84 + 5 + 568 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18845569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459628 + ... + 459668.

It is an arithmetic number, because the mean of its divisors is an integer number (267750).

Almost surely, 2^18845568 is an apocalyptic number.

18845568 is a gapful number since it is divisible by the number (18) 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 18845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272000).

18845568 is an abundant number, since it is smaller than the sum of its proper divisors (49698432).

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

18845568 is a wasteful number, since it uses less digits than its factorization.

18845568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 18845568 is about 4341.1482352023. The cubic root of 18845568 is about 266.1152382890.

The spelling of 18845568 in words is "eighteen million, eight hundred forty-five thousand, five hundred sixty-eight".