13707974784000 has 704 divisors, whose sum is σ = 52169549852160. Its totient is φ = 3129783091200.

The previous prime is 13707974783963. The next prime is 13707974784109. The reversal of 13707974784000 is 48747970731.

It is a happy number.

13707974784000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3034749742 + ... + 3034754258.

Almost surely, 2^{13707974784000} is an apocalyptic number.

13707974784000 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 13707974784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26084774926080).

13707974784000 is an abundant number, since it is smaller than the sum of its proper divisors (38461575068160).

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

13707974784000 is a wasteful number, since it uses less digits than its factorization.

13707974784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 13707974784000 in words is "thirteen trillion, seven hundred seven billion, nine hundred seventy-four million, seven hundred eighty-four thousand".