12795346368 has 168 divisors, whose sum is σ = 42033984512. Its totient is φ = 3645430272.

The previous prime is 12795346367. The next prime is 12795346537. The reversal of 12795346368 is 86364359721.

12795346368 is a `hidden beast` number, since 1 + 2 + 79 + 53 + 463 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12795346367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1475421 + ... + 1484067.

Almost surely, 2^12795346368 is an apocalyptic number.

12795346368 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 12795346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21016992256).

12795346368 is an abundant number, since it is smaller than the sum of its proper divisors (29238638144).

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

12795346368 is a wasteful number, since it uses less digits than its factorization.

12795346368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9026 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 12795346368 in words is "twelve billion, seven hundred ninety-five million, three hundred forty-six thousand, three hundred sixty-eight".