71964711746917 has 4 divisors (see below), whose sum is σ = 78506958269376. Its totient is φ = 65422465224460.

The previous prime is 71964711746911. The next prime is 71964711746999.

71964711746917 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 71964711746917 - 2¹⁹ = 71964711222629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71964711746911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3271123261213 + ... + 3271123261234.

It is an arithmetic number, because the mean of its divisors is an integer number (19626739567344).

Almost surely, 2^{71964711746917} is an apocalyptic number.

It is an amenable number.

71964711746917 is a deficient number, since it is larger than the sum of its proper divisors (6542246522459).

71964711746917 is a wasteful number, since it uses less digits than its factorization.

71964711746917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542246522458.

The product of its digits is 112021056, while the sum is 70.

The spelling of 71964711746917 in words is "seventy-one trillion, nine hundred sixty-four billion, seven hundred eleven million, seven hundred forty-six thousand, nine hundred seventeen".