12947184864768 has 960 divisors, whose sum is σ = 44706627592704. Its totient is φ = 3256845926400.

The previous prime is 12947184864767. The next prime is 12947184864793. The reversal of 12947184864768 is 86746848174921.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12947184864768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12947184864763) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13333866523 + ... + 13333867493.

Almost surely, 2^{12947184864768} 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 12947184864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353313796352).

12947184864768 is an abundant number, since it is smaller than the sum of its proper divisors (31759442727936).

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

12947184864768 is a wasteful number, since it uses less digits than its factorization.

12947184864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1308 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 75.

The spelling of 12947184864768 in words is "twelve trillion, nine hundred forty-seven billion, one hundred eighty-four million, eight hundred sixty-four thousand, seven hundred sixty-eight".