41646126331161 has 81 divisors (see below), whose sum is σ = 66576513574389. Its totient is φ = 25067513156400.

The previous prime is 41646126331037. The next prime is 41646126331253. The reversal of 41646126331161 is 16113362164614.

It is a happy number.

The square root of 41646126331161 is 6453381.

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

41646126331161 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 6 + 1 + 2 + 633 + 1 + 1 + 6 + 1 = 666.

41646126331161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-41646126331161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41646126331961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35564582106 + ... + 35564583276.

Almost surely, 2^{41646126331161} is an apocalyptic number.

41646126331161 is the 6453381-st square number.

41646126331161 is the 3226691-st centered octagonal number.

It is an amenable number.

41646126331161 is a deficient number, since it is larger than the sum of its proper divisors (24930387243228).

41646126331161 is an equidigital number, since it uses as much as digits as its factorization.

41646126331161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 1352 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

Adding to 41646126331161 its reverse (16113362164614), we get a palindrome (57759488495775).

The spelling of 41646126331161 in words is "forty-one trillion, six hundred forty-six billion, one hundred twenty-six million, three hundred thirty-one thousand, one hundred sixty-one".