6717131778049 has 81 divisors (see below), whose sum is σ = 8703266973219. Its totient is φ = 5165240129280.

The previous prime is 6717131778047. The next prime is 6717131778059. The reversal of 6717131778049 is 9408771317176.

The square root of 6717131778049 is 2591743.

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., 3016248460225 + 3700883317824 = 1736735^2 + 1923768^2 .

It is not a de Polignac number, because 6717131778049 - 2¹ = 6717131778047 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6717131778041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19357728294 + ... + 19357728640.

Almost surely, 2^{6717131778049} is an apocalyptic number.

6717131778049 is the 2591743-rd square number.

6717131778049 is the 1295872-nd centered octagonal number.

It is an amenable number.

6717131778049 is a deficient number, since it is larger than the sum of its proper divisors (1986135195170).

6717131778049 is an frugal number, since it uses more digits than its factorization.

6717131778049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 61.

The spelling of 6717131778049 in words is "six trillion, seven hundred seventeen billion, one hundred thirty-one million, seven hundred seventy-eight thousand, forty-nine".