18685344960 has 336 divisors, whose sum is σ = 66770402400. Its totient is φ = 4790403072.

The previous prime is 18685344959. The next prime is 18685344967. The reversal of 18685344960 is 6944358681.

18685344960 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 534 + 49 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18685344897 and 18685344906.

It is not an unprimeable number, because it can be changed into a prime (18685344967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34159407 + ... + 34159953.

Almost surely, 2^18685344960 is an apocalyptic number.

18685344960 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 18685344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33385201200).

18685344960 is an abundant number, since it is smaller than the sum of its proper divisors (48085057440).

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

18685344960 is a wasteful number, since it uses less digits than its factorization.

18685344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 18685344960 in words is "eighteen billion, six hundred eighty-five million, three hundred forty-four thousand, nine hundred sixty".