71984648917 has 8 divisors (see below), whose sum is σ = 74474056800. Its totient is φ = 69495719664.

The previous prime is 71984648909. The next prime is 71984648963.

71984648917 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71984648917 - 2³ = 71984648909 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 (71984648977) 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 7 ways as a sum of consecutive naturals, for example, 200934 + ... + 429352.

It is an arithmetic number, because the mean of its divisors is an integer number (9309257100).

Almost surely, 2^71984648917 is an apocalyptic number.

It is an amenable number.

71984648917 is a deficient number, since it is larger than the sum of its proper divisors (2489407883).

71984648917 is a wasteful number, since it uses less digits than its factorization.

71984648917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239315.

The product of its digits is 24385536, while the sum is 64.

The spelling of 71984648917 in words is "seventy-one billion, nine hundred eighty-four million, six hundred forty-eight thousand, nine hundred seventeen".