41693964481 has 27 divisors (see below), whose sum is σ = 45881039529. Its totient is φ = 37871713152.

The previous prime is 41693964467. The next prime is 41693964497. The reversal of 41693964481 is 18446939614.

The square root of 41693964481 is 204191.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31113784881 + 10580179600 = 176391^2 + 102860^2 .

It is not a de Polignac number, because 41693964481 - 2¹⁷ = 41693833409 is a prime.

It is a super-2 number, since 2×41693964481² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41693964451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 299956510 + ... + 299956648.

Almost surely, 2^41693964481 is an apocalyptic number.

41693964481 is the 204191-st square number.

41693964481 is the 102096-th centered octagonal number.

It is an amenable number.

41693964481 is a deficient number, since it is larger than the sum of its proper divisors (4187075048).

41693964481 is an equidigital number, since it uses as much as digits as its factorization.

41693964481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The spelling of 41693964481 in words is "forty-one billion, six hundred ninety-three million, nine hundred sixty-four thousand, four hundred eighty-one".