12414840768 has 336 divisors, whose sum is σ = 41120202240. Its totient is φ = 3541708800.

The previous prime is 12414840751. The next prime is 12414840797. The reversal of 12414840768 is 86704841421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33827721 + ... + 33828087.

Almost surely, 2^12414840768 is an apocalyptic number.

12414840768 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 12414840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20560101120).

12414840768 is an abundant number, since it is smaller than the sum of its proper divisors (28705361472).

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

12414840768 is a wasteful number, since it uses less digits than its factorization.

12414840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12414840768 in words is "twelve billion, four hundred fourteen million, eight hundred forty thousand, seven hundred sixty-eight".