71364699704169 has 81 divisors (see below), whose sum is σ = 106540501265679. Its totient is φ = 46031522676480.

The previous prime is 71364699704167. The next prime is 71364699704171. The reversal of 71364699704169 is 96140799646317.

The square root of 71364699704169 is 8447763.

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

71364699704169 is a `hidden beast` number, since 7 + 1 + 3 + 64 + 69 + 97 + 0 + 416 + 9 = 666.

71364699704169 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (71364699704167) and next prime (71364699704171).

It can be written as a sum of positive squares in 13 ways, for example, as 29318293841769 + 42046405862400 = 5414637^2 + 6484320^2 .

It is not a de Polignac number, because 71364699704169 - 2¹ = 71364699704167 is a prime.

It is a super-2 number, since 2×71364699704169² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71364699704097 and 71364699704106.

It is not an unprimeable number, because it can be changed into a prime (71364699704167) 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, 179759948679 + ... + 179759949075.

Almost surely, 2^{71364699704169} is an apocalyptic number.

71364699704169 is the 8447763-rd square number.

71364699704169 is the 4223882-nd centered octagonal number.

It is an amenable number.

71364699704169 is a deficient number, since it is larger than the sum of its proper divisors (35175801561510).

71364699704169 is an frugal number, since it uses more digits than its factorization.

71364699704169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 71364699704169 in words is "seventy-one trillion, three hundred sixty-four billion, six hundred ninety-nine million, seven hundred four thousand, one hundred sixty-nine".