13823865968000 has 256 divisors, whose sum is σ = 37560960852480. Its totient is φ = 5017895680000.

The previous prime is 13823865967997. The next prime is 13823865968039. The reversal of 13823865968000 is 86956832831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99018245 + ... + 99157755.

It is an arithmetic number, because the mean of its divisors is an integer number (146722503330).

Almost surely, 2^{13823865968000} is an apocalyptic number.

13823865968000 is a gapful number since it is divisible by the number (10) 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 13823865968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780480426240).

13823865968000 is an abundant number, since it is smaller than the sum of its proper divisors (23737094884480).

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

13823865968000 is a wasteful number, since it uses less digits than its factorization.

13823865968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140114 (or 140092 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 59.

The spelling of 13823865968000 in words is "thirteen trillion, eight hundred twenty-three billion, eight hundred sixty-five million, nine hundred sixty-eight thousand".