71755824916161 has 15 divisors (see below), whose sum is σ = 107190914069811. Its totient is φ = 47837165785488.

The previous prime is 71755824916121. The next prime is 71755824916183. The reversal of 71755824916161 is 16161942855717.

The square root of 71755824916161 is 8470881.

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

71755824916161 is a `hidden beast` number, since 7 + 1 + 7 + 5 + 5 + 8 + 2 + 4 + 9 + 1 + 616 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3709163994561 + 68046660921600 = 1925919^2 + 8249040^2 .

It is not a de Polignac number, because 71755824916161 - 2⁷ = 71755824916033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71755824916121) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 75767325 + ... + 76708533.

Almost surely, 2^{71755824916161} is an apocalyptic number.

71755824916161 is the 8470881-st square number.

71755824916161 is the 4235441-st centered octagonal number.

It is an amenable number.

71755824916161 is a deficient number, since it is larger than the sum of its proper divisors (35435089153650).

71755824916161 is an frugal number, since it uses more digits than its factorization.

71755824916161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882430 (or 941212 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 63.

The spelling of 71755824916161 in words is "seventy-one trillion, seven hundred fifty-five billion, eight hundred twenty-four million, nine hundred sixteen thousand, one hundred sixty-one".