12009638816448 has 896 divisors, whose sum is σ = 42564398284800. Its totient is φ = 2899016220672.

The previous prime is 12009638816437. The next prime is 12009638816531. The reversal of 12009638816448 is 84461883690021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12009638816391 and 12009638816400.

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 127 ways as a sum of consecutive naturals, for example, 1572144213 + ... + 1572151851.

It is an arithmetic number, because the mean of its divisors is an integer number (47504908800).

Almost surely, 2^{12009638816448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12009638816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21282199142400).

12009638816448 is an abundant number, since it is smaller than the sum of its proper divisors (30554759468352).

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

12009638816448 is a wasteful number, since it uses less digits than its factorization.

12009638816448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 12009638816448 in words is "twelve trillion, nine billion, six hundred thirty-eight million, eight hundred sixteen thousand, four hundred forty-eight".