12288584448 has 216 divisors, whose sum is σ = 41589006368. Its totient is φ = 3415965696.

The previous prime is 12288584437. The next prime is 12288584467. The reversal of 12288584448 is 84448588221.

It is a happy number.

12288584448 is a `hidden beast` number, since 12 + 2 + 8 + 8 + 584 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12288584394 and 12288584403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586440 + ... + 607032.

Almost surely, 2^12288584448 is an apocalyptic number.

12288584448 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 12288584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794503184).

12288584448 is an abundant number, since it is smaller than the sum of its proper divisors (29300421920).

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

12288584448 is a wasteful number, since it uses less digits than its factorization.

12288584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20659 (or 20642 counting only the distinct ones).

The product of its digits is 5242880, while the sum is 54.

The spelling of 12288584448 in words is "twelve billion, two hundred eighty-eight million, five hundred eighty-four thousand, four hundred forty-eight".