12865315482624 has 264 divisors, whose sum is σ = 37704472235584. Its totient is φ = 3897238118400.

The previous prime is 12865315482581. The next prime is 12865315482647. The reversal of 12865315482624 is 42628451356821.

It is a tau number, because it is divible by the number of its divisors (264).

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 23 ways as a sum of consecutive naturals, for example, 1862645379 + ... + 1862652285.

Almost surely, 2^{12865315482624} 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 12865315482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852236117792).

12865315482624 is an abundant number, since it is smaller than the sum of its proper divisors (24839156752960).

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

12865315482624 is a wasteful number, since it uses less digits than its factorization.

12865315482624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11963 (or 11934 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 57.

The spelling of 12865315482624 in words is "twelve trillion, eight hundred sixty-five billion, three hundred fifteen million, four hundred eighty-two thousand, six hundred twenty-four".