18059584617649 has 9 divisors (see below), whose sum is σ = 18078885909441. Its totient is φ = 18040303923840.

The previous prime is 18059584617647. The next prime is 18059584617673. The reversal of 18059584617649 is 94671648595081.

The square root of 18059584617649 is 4249657.

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 12390576000625 + 5669008617024 = 3520025^2 + 2380968^2 .

It is not a de Polignac number, because 18059584617649 - 2¹ = 18059584617647 is a prime.

It is a super-2 number, since 2×18059584617649² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18059584617647) 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 in 8 ways as a sum of consecutive naturals, for example, 5613795289 + ... + 5613798505.

It is an arithmetic number, because the mean of its divisors is an integer number (2008765101049).

Almost surely, 2^{18059584617649} is an apocalyptic number.

18059584617649 is the 4249657-th square number.

18059584617649 is the 2124829-th centered octagonal number.

It is an amenable number.

18059584617649 is a deficient number, since it is larger than the sum of its proper divisors (19301291792).

18059584617649 is an frugal number, since it uses more digits than its factorization.

18059584617649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9076 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 73.

The spelling of 18059584617649 in words is "eighteen trillion, fifty-nine billion, five hundred eighty-four million, six hundred seventeen thousand, six hundred forty-nine".