12875438312064 has 384 divisors, whose sum is σ = 39974773063680. Its totient is φ = 4120624327680.

The previous prime is 12875438312053. The next prime is 12875438312069. The reversal of 12875438312064 is 46021383457821.

12875438312064 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 54 + 383 + 1 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12875438312064.

It is not an unprimeable number, because it can be changed into a prime (12875438312069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122403877 + ... + 122509019.

It is an arithmetic number, because the mean of its divisors is an integer number (104100971520).

Almost surely, 2^{12875438312064} 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 12875438312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987386531840).

12875438312064 is an abundant number, since it is smaller than the sum of its proper divisors (27099334751616).

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

12875438312064 is a wasteful number, since it uses less digits than its factorization.

12875438312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105330 (or 105306 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 12875438312064 in words is "twelve trillion, eight hundred seventy-five billion, four hundred thirty-eight million, three hundred twelve thousand, sixty-four".