12448326844800 has 1536 divisors, whose sum is σ = 56889044582400. Its totient is φ = 2582560972800.

The previous prime is 12448326844769. The next prime is 12448326844823. The reversal of 12448326844800 is 844862384421.

It is a happy number.

12448326844800 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 83 + 2 + 6 + 84 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6034088569 + ... + 6034090631.

It is an arithmetic number, because the mean of its divisors is an integer number (37037138400).

Almost surely, 2^{12448326844800} is an apocalyptic number.

12448326844800 is a gapful number since it is divisible by the number (10) 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 12448326844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28444522291200).

12448326844800 is an abundant number, since it is smaller than the sum of its proper divisors (44440717737600).

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

12448326844800 is a wasteful number, since it uses less digits than its factorization.

12448326844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 12448326844800 in words is "twelve trillion, four hundred forty-eight billion, three hundred twenty-six million, eight hundred forty-four thousand, eight hundred".