71006793841 has 9 divisors (see below), whose sum is σ = 72708250251. Its totient is φ = 69344281272.

The previous prime is 71006793833. The next prime is 71006793881. The reversal of 71006793841 is 14839760017.

The square root of 71006793841 is 266471.

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

It can be written as a sum of positive squares in only one way, i.e., 27907373025 + 43099420816 = 167055^2 + 207604^2 .

It is not a de Polignac number, because 71006793841 - 2³ = 71006793833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71006793791 and 71006793800.

It is not an unprimeable number, because it can be changed into a prime (71006793811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11455155 + ... + 11461351.

Almost surely, 2^71006793841 is an apocalyptic number.

71006793841 is the 266471-st square number.

71006793841 is the 133236-th centered octagonal number.

It is an amenable number.

71006793841 is a deficient number, since it is larger than the sum of its proper divisors (1701456410).

71006793841 is an frugal number, since it uses more digits than its factorization.

71006793841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 71006793841 in words is "seventy-one billion, six million, seven hundred ninety-three thousand, eight hundred forty-one".