12305949280768 has 320 divisors, whose sum is σ = 29187415635840. Its totient is φ = 5109763276800.

The previous prime is 12305949280717. The next prime is 12305949280777. The reversal of 12305949280768 is 86708294950321.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3922838496 + ... + 3922841632.

It is an arithmetic number, because the mean of its divisors is an integer number (91210673862).

It is a 1-persistent number, because it is pandigital, but 2⋅12305949280768 = 24611898561536 is not.

Almost surely, 2^{12305949280768} 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 12305949280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593707817920).

12305949280768 is an abundant number, since it is smaller than the sum of its proper divisors (16881466355072).

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

12305949280768 is a wasteful number, since it uses less digits than its factorization.

12305949280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 12305949280768 in words is "twelve trillion, three hundred five billion, nine hundred forty-nine million, two hundred eighty thousand, seven hundred sixty-eight".