18663619968 has 256 divisors, whose sum is σ = 63352281600. Its totient is φ = 5298628608.

The previous prime is 18663619937. The next prime is 18663619973. The reversal of 18663619968 is 86991636681.

18663619968 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 3 + 619 + 9 + 6 + 8 = 666.

It is a super-3 number, since 3×18663619968³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3940930 + ... + 3945662.

It is an arithmetic number, because the mean of its divisors is an integer number (247469850).

Almost surely, 2^18663619968 is an apocalyptic number.

18663619968 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 18663619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31676140800).

18663619968 is an abundant number, since it is smaller than the sum of its proper divisors (44688661632).

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

18663619968 is a wasteful number, since it uses less digits than its factorization.

18663619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4908 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 18663619968 in words is "eighteen billion, six hundred sixty-three million, six hundred nineteen thousand, nine hundred sixty-eight".