71132423117 has 64 divisors (see below), whose sum is σ = 89754255360. Its totient is φ = 55025568000.

The previous prime is 71132423059. The next prime is 71132423143.

71132423117 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71132423117 - 2¹⁴ = 71132406733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71132423147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38511488 + ... + 38513334.

It is an arithmetic number, because the mean of its divisors is an integer number (1402410240).

Almost surely, 2^71132423117 is an apocalyptic number.

It is an amenable number.

71132423117 is a deficient number, since it is larger than the sum of its proper divisors (18621832243).

71132423117 is a wasteful number, since it uses less digits than its factorization.

71132423117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082.

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

The spelling of 71132423117 in words is "seventy-one billion, one hundred thirty-two million, four hundred twenty-three thousand, one hundred seventeen".