12923340768 has 216 divisors, whose sum is σ = 40310917920. Its totient is φ = 3924910080.

The previous prime is 12923340743. The next prime is 12923340821. The reversal of 12923340768 is 86704332921.

12923340768 is a `hidden beast` number, since 1 + 2 + 9 + 233 + 407 + 6 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 3843408 + ... + 3846768.

It is an arithmetic number, because the mean of its divisors is an integer number (186624620).

Almost surely, 2^12923340768 is an apocalyptic number.

12923340768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12923340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20155458960).

12923340768 is an abundant number, since it is smaller than the sum of its proper divisors (27387577152).

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

12923340768 is a wasteful number, since it uses less digits than its factorization.

12923340768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12923340768 in words is "twelve billion, nine hundred twenty-three million, three hundred forty thousand, seven hundred sixty-eight".