71132666623117 has 12 divisors (see below), whose sum is σ = 78491376131868. Its totient is φ = 64414441625600.

The previous prime is 71132666623069. The next prime is 71132666623163.

71132666623117 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 66846665312361 + 4286001310756 = 8175981^2 + 2070266^2 .

It is a de Polignac number, because none of the positive numbers 2^k-71132666623117 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 (71132666627117) 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 11 ways as a sum of consecutive naturals, for example, 1143691234 + ... + 1143753427.

It is an arithmetic number, because the mean of its divisors is an integer number (6540948010989).

Almost surely, 2^{71132666623117} is an apocalyptic number.

It is an amenable number.

71132666623117 is a deficient number, since it is larger than the sum of its proper divisors (7358709508751).

71132666623117 is a wasteful number, since it uses less digits than its factorization.

71132666623117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287444940 (or 2287444929 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The spelling of 71132666623117 in words is "seventy-one trillion, one hundred thirty-two billion, six hundred sixty-six million, six hundred twenty-three thousand, one hundred seventeen".