12319966368 has 288 divisors, whose sum is σ = 38935862784. Its totient is φ = 3678068736.

The previous prime is 12319966361. The next prime is 12319966369. The reversal of 12319966368 is 86366991321.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12319966368² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12319966361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8513421 + ... + 8514867.

It is an arithmetic number, because the mean of its divisors is an integer number (135193968).

Almost surely, 2^12319966368 is an apocalyptic number.

12319966368 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 12319966368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19467931392).

12319966368 is an abundant number, since it is smaller than the sum of its proper divisors (26615896416).

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

12319966368 is a wasteful number, since it uses less digits than its factorization.

12319966368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1553 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 12319966368 in words is "twelve billion, three hundred nineteen million, nine hundred sixty-six thousand, three hundred sixty-eight".