18581725310849 has 2 divisors, whose sum is σ = 18581725310850. Its totient is φ = 18581725310848.

The previous prime is 18581725310801. The next prime is 18581725310909. The reversal of 18581725310849 is 94801352718581.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18529710298225 + 52015012624 = 4304615^2 + 228068^2 .

It is an emirp because it is prime and its reverse (94801352718581) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18581725310849 - 2⁴⁴ = 989539266433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18581725310791 and 18581725310800.

It is not a weakly prime, because it can be changed into another prime (18581725910849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9290862655424 + 9290862655425.

It is an arithmetic number, because the mean of its divisors is an integer number (9290862655425).

Almost surely, 2^{18581725310849} is an apocalyptic number.

It is an amenable number.

18581725310849 is a deficient number, since it is larger than the sum of its proper divisors (1).

18581725310849 is an equidigital number, since it uses as much as digits as its factorization.

18581725310849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19353600, while the sum is 62.

The spelling of 18581725310849 in words is "eighteen trillion, five hundred eighty-one billion, seven hundred twenty-five million, three hundred ten thousand, eight hundred forty-nine".