14249509496064 has 216 divisors, whose sum is σ = 43650266292360. Its totient is φ = 4462100987904.

The previous prime is 14249509496039. The next prime is 14249509496071. The reversal of 14249509496064 is 46069490594241.

It is a happy number.

14249509496064 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 9 + 509 + 4 + 9 + 60 + 64 = 666.

14249509496064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4568649753600 + 9680859742464 = 2137440^2 + 3111408^2 .

It is a super-2 number, since 2×14249509496064² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14249509495992 and 14249509496010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409767 + ... + 5354150.

Almost surely, 2^{14249509496064} 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 14249509496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21825133146180).

14249509496064 is an abundant number, since it is smaller than the sum of its proper divisors (29400756796296).

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

14249509496064 is a wasteful number, since it uses less digits than its factorization.

14249509496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764005 (or 5763988 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 14249509496064 in words is "fourteen trillion, two hundred forty-nine billion, five hundred nine million, four hundred ninety-six thousand, sixty-four".