41664566161 has 9 divisors (see below), whose sum is σ = 44263277499. Its totient is φ = 39210443424.

The previous prime is 41664566143. The next prime is 41664566179. The reversal of 41664566161 is 16166546614.

The square root of 41664566161 is 204119.

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

It is an interprime number because it is at equal distance from previous prime (41664566143) and next prime (41664566179).

It can be written as a sum of positive squares in only one way, i.e., 32437811025 + 9226755136 = 180105^2 + 96056^2 .

It is not a de Polignac number, because 41664566161 - 2³¹ = 39517082513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41664566131) 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, 3464020 + ... + 3476026.

Almost surely, 2^41664566161 is an apocalyptic number.

41664566161 is the 204119-th square number.

41664566161 is the 102060-th centered octagonal number.

It is an amenable number.

41664566161 is a deficient number, since it is larger than the sum of its proper divisors (2598711338).

41664566161 is an frugal number, since it uses more digits than its factorization.

41664566161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24048 (or 12024 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The spelling of 41664566161 in words is "forty-one billion, six hundred sixty-four million, five hundred sixty-six thousand, one hundred sixty-one".