12448576224 has 216 divisors, whose sum is σ = 41426494200. Its totient is φ = 3535483392.

The previous prime is 12448576211. The next prime is 12448576249. The reversal of 12448576224 is 42267584421.

12448576224 is a `hidden beast` number, since 12 + 4 + 4 + 8 + 5 + 7 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12448576224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2438827 + ... + 2443925.

It is an arithmetic number, because the mean of its divisors is an integer number (191789325).

Almost surely, 2^12448576224 is an apocalyptic number.

12448576224 is a gapful number since it is divisible by the number (14) 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 12448576224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20713247100).

12448576224 is an abundant number, since it is smaller than the sum of its proper divisors (28977917976).

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

12448576224 is a wasteful number, since it uses less digits than its factorization.

12448576224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5284 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 12448576224 in words is "twelve billion, four hundred forty-eight million, five hundred seventy-six thousand, two hundred twenty-four".