13927682016 has 144 divisors (see below), whose sum is σ = 42007623840. Its totient is φ = 4367784960.

The previous prime is 13927681981. The next prime is 13927682051. The reversal of 13927682016 is 61028672931.

It is an interprime number because it is at equal distance from previous prime (13927681981) and next prime (13927682051).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 386830 + ... + 421298.

It is an arithmetic number, because the mean of its divisors is an integer number (291719610).

Almost surely, 2^13927682016 is an apocalyptic number.

13927682016 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 13927682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003811920).

13927682016 is an abundant number, since it is smaller than the sum of its proper divisors (28079941824).

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

13927682016 is a wasteful number, since it uses less digits than its factorization.

13927682016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34569 (or 34558 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13927682016 in words is "thirteen billion, nine hundred twenty-seven million, six hundred eighty-two thousand, sixteen".