9181664041 has 27 divisors (see below), whose sum is σ = 10465543767. Its totient is φ = 8048964000.

The previous prime is 9181664029. The next prime is 9181664059. The reversal of 9181664041 is 1404661819.

The square root of 9181664041 is 95821.

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., 6204870441 + 2976793600 = 78771^2 + 54560^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9181664041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9181663985 and 9181664003.

It is not an unprimeable number, because it can be changed into a prime (9181664021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32674821 + ... + 32675101.

Almost surely, 2^9181664041 is an apocalyptic number.

9181664041 is the 95821-st square number.

9181664041 is the 47911-st centered octagonal number.

It is an amenable number.

9181664041 is a deficient number, since it is larger than the sum of its proper divisors (1283879726).

9181664041 is an equidigital number, since it uses as much as digits as its factorization.

9181664041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The cubic root of 9181664041 is about 2093.9861230683.

The spelling of 9181664041 in words is "nine billion, one hundred eighty-one million, six hundred sixty-four thousand, forty-one".