716171202171617 has 32 divisors (see below), whose sum is σ = 786225764908800. Its totient is φ = 649326650112000.

The previous prime is 716171202171587. The next prime is 716171202171641.

716171202171617 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 716171202171617 - 2¹⁸ = 716171201909473 is a prime.

It is a super-2 number, since 2×716171202171617² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (716171202171697) 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 31 ways as a sum of consecutive naturals, for example, 393398684 + ... + 395214962.

It is an arithmetic number, because the mean of its divisors is an integer number (24569555153400).

Almost surely, 2^{716171202171617} is an apocalyptic number.

It is an amenable number.

716171202171617 is a deficient number, since it is larger than the sum of its proper divisors (70054562737183).

716171202171617 is a wasteful number, since it uses less digits than its factorization.

716171202171617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818137.

The product of its (nonzero) digits is 345744, while the sum is 50.

It can be divided in two parts, 71617120 and 2171617, that added together give a palindrome (73788737).

The spelling of 716171202171617 in words is "seven hundred sixteen trillion, one hundred seventy-one billion, two hundred two million, one hundred seventy-one thousand, six hundred seventeen".