12968333664 has 288 divisors, whose sum is σ = 41367013632. Its totient is φ = 3506918400.

The previous prime is 12968333659. The next prime is 12968333681. The reversal of 12968333664 is 46633386921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13192117 + ... + 13193099.

It is an arithmetic number, because the mean of its divisors is an integer number (143635464).

Almost surely, 2^12968333664 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 12968333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20683506816).

12968333664 is an abundant number, since it is smaller than the sum of its proper divisors (28398679968).

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

12968333664 is a wasteful number, since it uses less digits than its factorization.

12968333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1043 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 51.

The spelling of 12968333664 in words is "twelve billion, nine hundred sixty-eight million, three hundred thirty-three thousand, six hundred sixty-four".