71106735815361 has 9 divisors (see below), whose sum is σ = 102709766051841. Its totient is φ = 47404473678612.

The previous prime is 71106735815341. The next prime is 71106735815393. The reversal of 71106735815361 is 16351853760117.

The square root of 71106735815361 is 8432481.

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

71106735815361 is a `hidden beast` number, since 7 + 1 + 1 + 0 + 6 + 7 + 3 + 581 + 53 + 6 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 71106735815361 - 2⁵ = 71106735815329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71106735815298 and 71106735815307.

It is not an unprimeable number, because it can be changed into a prime (71106735815341) 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, 23892030 + ... + 26702856.

Almost surely, 2^{71106735815361} is an apocalyptic number.

71106735815361 is the 8432481-st square number.

71106735815361 is the 4216241-st centered octagonal number.

It is an amenable number.

71106735815361 is a deficient number, since it is larger than the sum of its proper divisors (31603030236480).

71106735815361 is an frugal number, since it uses more digits than its factorization.

71106735815361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621660 (or 2810830 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 71106735815361 in words is "seventy-one trillion, one hundred six billion, seven hundred thirty-five million, eight hundred fifteen thousand, three hundred sixty-one".