89966404864481 has 2 divisors, whose sum is σ = 89966404864482. Its totient is φ = 89966404864480.

The previous prime is 89966404864433. The next prime is 89966404864487. The reversal of 89966404864481 is 18446840466998.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89840066560000 + 126338304481 = 9478400^2 + 355441^2 .

It is a cyclic number.

It is not a de Polignac number, because 89966404864481 - 2³⁴ = 89949224995297 is a prime.

It is a super-2 number, since 2×89966404864481² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (89966404864487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44983202432240 + 44983202432241.

It is an arithmetic number, because the mean of its divisors is an integer number (44983202432241).

Almost surely, 2^{89966404864481} is an apocalyptic number.

It is an amenable number.

89966404864481 is a deficient number, since it is larger than the sum of its proper divisors (1).

89966404864481 is an equidigital number, since it uses as much as digits as its factorization.

89966404864481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2293235712, while the sum is 77.

The spelling of 89966404864481 in words is "eighty-nine trillion, nine hundred sixty-six billion, four hundred four million, eight hundred sixty-four thousand, four hundred eighty-one".