12618768384 has 196 divisors, whose sum is σ = 37854592566. Its totient is φ = 4204265472.

The previous prime is 12618768377. The next prime is 12618768403. The reversal of 12618768384 is 48386781621.

12618768384 is a `hidden beast` number, since 1 + 26 + 187 + 68 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12615782400 + 2985984 = 112320^2 + 1728^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12618768384.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5970912 + ... + 5973024.

Almost surely, 2^12618768384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12618768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927296283).

12618768384 is an abundant number, since it is smaller than the sum of its proper divisors (25235824182).

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

12618768384 is an frugal number, since it uses more digits than its factorization.

12618768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2118 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 12618768384 in words is "twelve billion, six hundred eighteen million, seven hundred sixty-eight thousand, three hundred eighty-four".