71123432117 has 16 divisors (see below), whose sum is σ = 75812491440. Its totient is φ = 66491891712.

The previous prime is 71123432113. The next prime is 71123432131.

71123432117 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3245466961 + 67877965156 = 56969^2 + 260534^2 .

It is a cyclic number.

It is not a de Polignac number, because 71123432117 - 2² = 71123432113 is a prime.

It is a super-2 number, since 2×71123432117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71123432113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1664573 + ... + 1706765.

It is an arithmetic number, because the mean of its divisors is an integer number (4738280715).

Almost surely, 2^71123432117 is an apocalyptic number.

It is an amenable number.

71123432117 is a deficient number, since it is larger than the sum of its proper divisors (4689059323).

71123432117 is a wasteful number, since it uses less digits than its factorization.

71123432117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42872.

The product of its digits is 7056, while the sum is 32.

The spelling of 71123432117 in words is "seventy-one billion, one hundred twenty-three million, four hundred thirty-two thousand, one hundred seventeen".