13718966976000 has 2560 divisors, whose sum is σ = 60613820467200. Its totient is φ = 3014737920000.

The previous prime is 13718966975971. The next prime is 13718966976007. The reversal of 13718966976000 is 67966981731.

13718966976000 is a `hidden beast` number, since 1 + 3 + 7 + 18 + 9 + 6 + 6 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13718966976007) 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 255 ways as a sum of consecutive naturals, for example, 14579135530 + ... + 14579136470.

It is an arithmetic number, because the mean of its divisors is an integer number (23677273620).

Almost surely, 2^{13718966976000} is an apocalyptic number.

13718966976000 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 13718966976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30306910233600).

13718966976000 is an abundant number, since it is smaller than the sum of its proper divisors (46894853491200).

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

13718966976000 is a wasteful number, since it uses less digits than its factorization.

13718966976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 13718966976000 in words is "thirteen trillion, seven hundred eighteen billion, nine hundred sixty-six million, nine hundred seventy-six thousand".