13927821014016 has 3168 divisors, whose sum is σ = 56877372115200. Its totient is φ = 3237284413440.

The previous prime is 13927821013913. The next prime is 13927821014057. The reversal of 13927821014016 is 61041012872931.

13927821014016 is a `hidden beast` number, since 1 + 3 + 9 + 27 + 8 + 210 + 1 + 401 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 156492370900 + ... + 156492370988.

Almost surely, 2^{13927821014016} is an apocalyptic number.

13927821014016 is a gapful number since it is divisible by the number (16) 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 13927821014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28438686057600).

13927821014016 is an abundant number, since it is smaller than the sum of its proper divisors (42949551101184).

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

13927821014016 is a wasteful number, since it uses less digits than its factorization.

13927821014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 13927821014016 its reverse (61041012872931), we get a palindrome (74968833886947).

The spelling of 13927821014016 in words is "thirteen trillion, nine hundred twenty-seven billion, eight hundred twenty-one million, fourteen thousand, sixteen".