12824336448 has 560 divisors, whose sum is σ = 48151206720. Its totient is φ = 3319142400.

The previous prime is 12824336443. The next prime is 12824336449. The reversal of 12824336448 is 84463342821.

It is a happy number.

12824336448 is a `hidden beast` number, since 1 + 2 + 8 + 243 + 364 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12824336443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45638068 + ... + 45638348.

Almost surely, 2^12824336448 is an apocalyptic number.

12824336448 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 12824336448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24075603360).

12824336448 is an abundant number, since it is smaller than the sum of its proper divisors (35326870272).

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

12824336448 is an equidigital number, since it uses as much as digits as its factorization.

12824336448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 304 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 12824336448 in words is "twelve billion, eight hundred twenty-four million, three hundred thirty-six thousand, four hundred forty-eight".