71586541139689 has 81 divisors (see below), whose sum is σ = 79644167686863. Its totient is φ = 64329785625600.

The previous prime is 71586541139657. The next prime is 71586541139731. The reversal of 71586541139689 is 98693114568517.

The square root of 71586541139689 is 8460883.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 71042056536025 + 544484603664 = 8428645^2 + 737892^2 .

It is not a de Polignac number, because 71586541139689 - 2⁵ = 71586541139657 is a prime.

It is a super-2 number, since 2×71586541139689² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71586541139189) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 359731362412 + ... + 359731362610.

Almost surely, 2^{71586541139689} is an apocalyptic number.

71586541139689 is the 8460883-rd square number.

71586541139689 is the 4230442-nd centered octagonal number.

It is an amenable number.

71586541139689 is a deficient number, since it is larger than the sum of its proper divisors (8057626547174).

71586541139689 is an frugal number, since it uses more digits than its factorization.

71586541139689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 73.

The spelling of 71586541139689 in words is "seventy-one trillion, five hundred eighty-six billion, five hundred forty-one million, one hundred thirty-nine thousand, six hundred eighty-nine".