18845386560 has 896 divisors, whose sum is σ = 89303961600. Its totient is φ = 3613040640.

The previous prime is 18845386541. The next prime is 18845386561. The reversal of 18845386560 is 6568354881.

18845386560 is a `hidden beast` number, since 1 + 8 + 8 + 45 + 38 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18845386497 and 18845386506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18845386561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8647551 + ... + 8649729.

It is an arithmetic number, because the mean of its divisors is an integer number (99669600).

Almost surely, 2^18845386560 is an apocalyptic number.

18845386560 is a gapful number since it is divisible by the number (10) 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 18845386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651980800).

18845386560 is an abundant number, since it is smaller than the sum of its proper divisors (70458575040).

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

18845386560 is a wasteful number, since it uses less digits than its factorization.

18845386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 18845386560 in words is "eighteen billion, eight hundred forty-five million, three hundred eighty-six thousand, five hundred sixty".