18508414681 has 2 divisors, whose sum is σ = 18508414682. Its totient is φ = 18508414680.

The previous prime is 18508414633. The next prime is 18508414697. The reversal of 18508414681 is 18641480581.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11217987225 + 7290427456 = 105915^2 + 85384^2 .

It is a cyclic number.

It is not a de Polignac number, because 18508414681 - 2¹³ = 18508406489 is a prime.

It is a super-4 number, since 4×18508414681⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (18508414181) 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 as a sum of consecutive naturals, namely, 9254207340 + 9254207341.

It is an arithmetic number, because the mean of its divisors is an integer number (9254207341).

Almost surely, 2^18508414681 is an apocalyptic number.

It is an amenable number.

18508414681 is a deficient number, since it is larger than the sum of its proper divisors (1).

18508414681 is an equidigital number, since it uses as much as digits as its factorization.

18508414681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245760, while the sum is 46.

The spelling of 18508414681 in words is "eighteen billion, five hundred eight million, four hundred fourteen thousand, six hundred eighty-one".