12864042048 has 336 divisors, whose sum is σ = 41981054976. Its totient is φ = 3439687680.

The previous prime is 12864042031. The next prime is 12864042089. The reversal of 12864042048 is 84024046821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12864041997 and 12864042015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8208561 + ... + 8210127.

It is an arithmetic number, because the mean of its divisors is an integer number (124943616).

Almost surely, 2^12864042048 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 12864042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20990527488).

12864042048 is an abundant number, since it is smaller than the sum of its proper divisors (29117012928).

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

12864042048 is a wasteful number, since it uses less digits than its factorization.

12864042048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

Adding to 12864042048 its reverse (84024046821), we get a palindrome (96888088869).

The spelling of 12864042048 in words is "twelve billion, eight hundred sixty-four million, forty-two thousand, forty-eight".