71855443144081 has 9 divisors (see below), whose sum is σ = 72342202619323. Its totient is φ = 71371937287480.

The previous prime is 71855443144073. The next prime is 71855443144129. The reversal of 71855443144081 is 18044134455817.

The square root of 71855443144081 is 8476759.

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., 8418359876481 + 63437083267600 = 2901441^2 + 7964740^2 .

It is not a de Polignac number, because 71855443144081 - 2³ = 71855443144073 is a prime.

It is a super-2 number, since 2×71855443144081² (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 (71855443144021) 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, 1263008646 + ... + 1263065536.

Almost surely, 2^{71855443144081} is an apocalyptic number.

71855443144081 is the 8476759-th square number.

71855443144081 is the 4238380-th centered octagonal number.

It is an amenable number.

71855443144081 is a deficient number, since it is larger than the sum of its proper divisors (486759475242).

71855443144081 is an frugal number, since it uses more digits than its factorization.

71855443144081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114080 (or 57040 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 55.

Adding to 71855443144081 its reverse (18044134455817), we get a palindrome (89899577599898).

The spelling of 71855443144081 in words is "seventy-one trillion, eight hundred fifty-five billion, four hundred forty-three million, one hundred forty-four thousand, eighty-one".