6785311248769 has 9 divisors (see below), whose sum is σ = 6816458650179. Its totient is φ = 6754305564480.

The previous prime is 6785311248767. The next prime is 6785311248791. The reversal of 6785311248769 is 9678421135876.

The square root of 6785311248769 is 2604863.

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., 3441533288769 + 3343777960000 = 1855137^2 + 1828600^2 .

It is not a de Polignac number, because 6785311248769 - 2¹ = 6785311248767 is a prime.

It is a super-2 number, since 2×6785311248769² (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 (6785311248767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 580878609 + ... + 580890289.

Almost surely, 2^{6785311248769} is an apocalyptic number.

6785311248769 is the 2604863-rd square number.

6785311248769 is the 1302432-nd centered octagonal number.

It is an amenable number.

6785311248769 is a deficient number, since it is larger than the sum of its proper divisors (31147401410).

6785311248769 is an frugal number, since it uses more digits than its factorization.

6785311248769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23808 (or 11904 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 67.

The spelling of 6785311248769 in words is "six trillion, seven hundred eighty-five billion, three hundred eleven million, two hundred forty-eight thousand, seven hundred sixty-nine".