14138313868288 has 88 divisors (see below), whose sum is σ = 29955035287800. Its totient is φ = 6646721937408.

The previous prime is 14138313868229. The next prime is 14138313868309. The reversal of 14138313868288 is 88286831383141.

It can be written as a sum of positive squares in 4 ways, for example, as 1283163341824 + 12855150526464 = 1132768^2 + 3585408^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17162208 + ... + 17967136.

Almost surely, 2^{14138313868288} 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 14138313868288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977517643900).

14138313868288 is an abundant number, since it is smaller than the sum of its proper divisors (15816721419512).

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

14138313868288 is a wasteful number, since it uses less digits than its factorization.

14138313868288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805975 (or 805957 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 64.

The spelling of 14138313868288 in words is "fourteen trillion, one hundred thirty-eight billion, three hundred thirteen million, eight hundred sixty-eight thousand, two hundred eighty-eight".