2168647952689 has 27 divisors (see below), whose sum is σ = 2306980520523. Its totient is φ = 2038312569024.

The previous prime is 2168647952663. The next prime is 2168647952707. The reversal of 2168647952689 is 9862597468612.

The square root of 2168647952689 is 1472633.

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

It can be written as a sum of positive squares in only one way, i.e., 243191991025 + 1925455961664 = 493145^2 + 1387608^2 .

It is not a de Polignac number, because 2168647952689 - 2²⁹ = 2168111081777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2168647952609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5008424617 + ... + 5008425049.

Almost surely, 2^{2168647952689} is an apocalyptic number.

2168647952689 is the 1472633-rd square number.

2168647952689 is the 736317-th centered octagonal number.

It is an amenable number.

2168647952689 is a deficient number, since it is larger than the sum of its proper divisors (138332567834).

2168647952689 is an frugal number, since it uses more digits than its factorization.

2168647952689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 631 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 73.

The spelling of 2168647952689 in words is "two trillion, one hundred sixty-eight billion, six hundred forty-seven million, nine hundred fifty-two thousand, six hundred eighty-nine".