18619824168 has 96 divisors (see below), whose sum is σ = 55056399840. Its totient is φ = 5637932160.

The previous prime is 18619824127. The next prime is 18619824199. The reversal of 18619824168 is 86142891681.

It is a happy number.

18619824168 is a `hidden beast` number, since 1 + 8 + 619 + 8 + 2 + 4 + 16 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078855 + ... + 1095977.

It is an arithmetic number, because the mean of its divisors is an integer number (573504165).

Almost surely, 2^18619824168 is an apocalyptic number.

18619824168 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 18619824168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27528199920).

18619824168 is an abundant number, since it is smaller than the sum of its proper divisors (36436575672).

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

18619824168 is a wasteful number, since it uses less digits than its factorization.

18619824168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18519 (or 18512 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 18619824168 in words is "eighteen billion, six hundred nineteen million, eight hundred twenty-four thousand, one hundred sixty-eight".