12774288384 has 528 divisors, whose sum is σ = 45064131840. Its totient is φ = 3563274240.

The previous prime is 12774288379. The next prime is 12774288391. The reversal of 12774288384 is 48388247721.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×12774288384³ (a number of 31 digits) contains 333 as substring.

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 12774288384.

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 47 ways as a sum of consecutive naturals, for example, 35582797 + ... + 35583155.

Almost surely, 2^12774288384 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 12774288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532065920).

12774288384 is an abundant number, since it is smaller than the sum of its proper divisors (32289843456).

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

12774288384 is a wasteful number, since it uses less digits than its factorization.

12774288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 388 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 12774288384 in words is "twelve billion, seven hundred seventy-four million, two hundred eighty-eight thousand, three hundred eighty-four".