13827391344 has 180 divisors, whose sum is σ = 43568043064. Its totient is φ = 4069308672.

The previous prime is 13827391289. The next prime is 13827391393. The reversal of 13827391344 is 44319372831.

13827391344 is a `hidden beast` number, since 1 + 38 + 273 + 9 + 1 + 344 = 666.

It is a super-2 number, since 2×13827391344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13827391344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 983307 + ... + 997269.

Almost surely, 2^13827391344 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 13827391344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784021532).

13827391344 is an abundant number, since it is smaller than the sum of its proper divisors (29740651720).

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

13827391344 is a wasteful number, since it uses less digits than its factorization.

13827391344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14036 (or 14004 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 13827391344 in words is "thirteen billion, eight hundred twenty-seven million, three hundred ninety-one thousand, three hundred forty-four".