182816960041 has 9 divisors (see below), whose sum is σ = 183687761271. Its totient is φ = 181950273624.

The previous prime is 182816959979. The next prime is 182816960071. The reversal of 182816960041 is 140069618281.

The square root of 182816960041 is 427571.

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

182816960041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 172740815641 + 10076144400 = 415621^2 + 100380^2 .

It is not a de Polignac number, because 182816960041 - 2⁹ = 182816959529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 182816959973 and 182816960000.

It is not an unprimeable number, because it can be changed into a prime (182816960071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102188575 + ... + 102190363.

Almost surely, 2^182816960041 is an apocalyptic number.

182816960041 is the 427571-st square number.

182816960041 is the 213786-th centered octagonal number.

It is an amenable number.

182816960041 is a deficient number, since it is larger than the sum of its proper divisors (870801230).

182816960041 is an frugal number, since it uses more digits than its factorization.

182816960041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 182816960041 in words is "one hundred eighty-two billion, eight hundred sixteen million, nine hundred sixty thousand, forty-one".