12807704448 has 640 divisors, whose sum is σ = 48483325440. Its totient is φ = 3259699200.

The previous prime is 12807704423. The next prime is 12807704473. The reversal of 12807704448 is 84440770821.

12807704448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12807704423) and next prime (12807704473).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48698365 + ... + 48698627.

It is an arithmetic number, because the mean of its divisors is an integer number (75755196).

Almost surely, 2^12807704448 is an apocalyptic number.

12807704448 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 12807704448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24241662720).

12807704448 is an abundant number, since it is smaller than the sum of its proper divisors (35675620992).

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

12807704448 is a wasteful number, since it uses less digits than its factorization.

12807704448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 12807704448 in words is "twelve billion, eight hundred seven million, seven hundred four thousand, four hundred forty-eight".