13727049984 has 108 divisors (see below), whose sum is σ = 40855406592. Its totient is φ = 4428057600.

The previous prime is 13727049967. The next prime is 13727050031. The reversal of 13727049984 is 48994072731.

13727049984 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 70 + 499 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13727049984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24672 + ... + 167519.

Almost surely, 2^13727049984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13727049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427703296).

13727049984 is an abundant number, since it is smaller than the sum of its proper divisors (27128356608).

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

13727049984 is a wasteful number, since it uses less digits than its factorization.

13727049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192244 (or 192227 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13727049984 in words is "thirteen billion, seven hundred twenty-seven million, forty-nine thousand, nine hundred eighty-four".