8906461614481 has 2 divisors, whose sum is σ = 8906461614482. Its totient is φ = 8906461614480.

The previous prime is 8906461614317. The next prime is 8906461614497. The reversal of 8906461614481 is 1844161646098.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8587191412881 + 319270201600 = 2930391^2 + 565040^2 .

It is a cyclic number.

It is not a de Polignac number, because 8906461614481 - 2²⁷ = 8906327396753 is a prime.

It is a super-2 number, since 2×8906461614481² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8906461614181) 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 as a sum of consecutive naturals, namely, 4453230807240 + 4453230807241.

It is an arithmetic number, because the mean of its divisors is an integer number (4453230807241).

Almost surely, 2^{8906461614481} is an apocalyptic number.

It is an amenable number.

8906461614481 is a deficient number, since it is larger than the sum of its proper divisors (1).

8906461614481 is an equidigital number, since it uses as much as digits as its factorization.

8906461614481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7962624, while the sum is 58.

The spelling of 8906461614481 in words is "eight trillion, nine hundred six billion, four hundred sixty-one million, six hundred fourteen thousand, four hundred eighty-one".