13983718086000 has 720 divisors, whose sum is σ = 53611744691232. Its totient is φ = 3394939392000.

The previous prime is 13983718085969. The next prime is 13983718086043. The reversal of 13983718086000 is 68081738931.

13983718086000 is a `hidden beast` number, since 13 + 9 + 8 + 3 + 7 + 18 + 0 + 8 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222034515 + ... + 222097485.

Almost surely, 2^{13983718086000} is an apocalyptic number.

13983718086000 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 13983718086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26805872345616).

13983718086000 is an abundant number, since it is smaller than the sum of its proper divisors (39628026605232).

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

13983718086000 is a wasteful number, since it uses less digits than its factorization.

13983718086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63099 (or 63067 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 13983718086000 in words is "thirteen trillion, nine hundred eighty-three billion, seven hundred eighteen million, eighty-six thousand".