12837224448 has 384 divisors, whose sum is σ = 40893840000. Its totient is φ = 3864526848.

The previous prime is 12837224447. The next prime is 12837224461. The reversal of 12837224448 is 84442273821.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (12837224447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162496473 + ... + 162496551.

It is an arithmetic number, because the mean of its divisors is an integer number (106494375).

Almost surely, 2^12837224448 is an apocalyptic number.

12837224448 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 12837224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446920000).

12837224448 is an abundant number, since it is smaller than the sum of its proper divisors (28056615552).

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

12837224448 is an equidigital number, since it uses as much as digits as its factorization.

12837224448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 12837224448 in words is "twelve billion, eight hundred thirty-seven million, two hundred twenty-four thousand, four hundred forty-eight".