2688081574369 has 9 divisors (see below), whose sum is σ = 2692708094041. Its totient is φ = 2683462998640.

The previous prime is 2688081574331. The next prime is 2688081574379. The reversal of 2688081574369 is 9634751808862.

The square root of 2688081574369 is 1639537.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1550684920225 + 1137396654144 = 1245265^2 + 1066488^2 .

It is not a de Polignac number, because 2688081574369 - 2¹⁵ = 2688081541601 is a prime.

It is a super-2 number, since 2×2688081574369² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2688081574309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1346058879 + ... + 1346060875.

It is a 1-persistent number, because it is pandigital, but 2⋅2688081574369 = 5376163148738 is not.

Almost surely, 2^{2688081574369} is an apocalyptic number.

2688081574369 is the 1639537-th square number.

2688081574369 is the 819769-th centered octagonal number.

It is an amenable number.

2688081574369 is a deficient number, since it is larger than the sum of its proper divisors (4626519672).

2688081574369 is an frugal number, since it uses more digits than its factorization.

2688081574369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 67.

The spelling of 2688081574369 in words is "two trillion, six hundred eighty-eight billion, eighty-one million, five hundred seventy-four thousand, three hundred sixty-nine".