6717214714081 has 9 divisors (see below), whose sum is σ = 6956907826323. Its totient is φ = 6485514051240.

The previous prime is 6717214713931. The next prime is 6717214714099. The reversal of 6717214714081 is 1804174127176.

The square root of 6717214714081 is 2591759.

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., 3522344457681 + 3194870256400 = 1876791^2 + 1787420^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6717214714081 is a prime.

It is a super-2 number, since 2×6717214714081² (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 (6717214114081) 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, 75116326 + ... + 75205696.

Almost surely, 2^{6717214714081} is an apocalyptic number.

6717214714081 is the 2591759-th square number.

6717214714081 is the 1295880-th centered octagonal number.

It is an amenable number.

6717214714081 is a deficient number, since it is larger than the sum of its proper divisors (239693112242).

6717214714081 is an frugal number, since it uses more digits than its factorization.

6717214714081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178800 (or 89400 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 49.

Multiplying 6717214714081 by its sum of digits (49), we get a square (329143520989969 = 18142313²).

The spelling of 6717214714081 in words is "six trillion, seven hundred seventeen billion, two hundred fourteen million, seven hundred fourteen thousand, eighty-one".