71145854117 has 16 divisors (see below), whose sum is σ = 76992367872. Its totient is φ = 65353314240.

The previous prime is 71145854099. The next prime is 71145854149.

71145854117 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71145854117 - 2¹⁸ = 71145591973 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 (71145854317) 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, 3078158 + ... + 3101184.

It is an arithmetic number, because the mean of its divisors is an integer number (4812022992).

Almost surely, 2^71145854117 is an apocalyptic number.

It is an amenable number.

71145854117 is a deficient number, since it is larger than the sum of its proper divisors (5846513755).

71145854117 is a wasteful number, since it uses less digits than its factorization.

71145854117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24188.

The product of its digits is 156800, while the sum is 44.

The spelling of 71145854117 in words is "seventy-one billion, one hundred forty-five million, eight hundred fifty-four thousand, one hundred seventeen".