18593318128009 has 9 divisors (see below), whose sum is σ = 19035966583053. Its totient is φ = 18160734276972.

The previous prime is 18593318127997. The next prime is 18593318128027. The reversal of 18593318128009 is 90082181339581.

It is a happy number.

The square root of 18593318128009 is 4311997.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 18593318128009 - 2¹¹ = 18593318125961 is a prime.

It is a super-2 number, since 2×18593318128009² (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 (18593318128079) 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, 185365732 + ... + 185466010.

It is an arithmetic number, because the mean of its divisors is an integer number (2115107398117).

Almost surely, 2^{18593318128009} is an apocalyptic number.

18593318128009 is the 4311997-th square number.

18593318128009 is the 2155999-th centered octagonal number.

It is an amenable number.

18593318128009 is a deficient number, since it is larger than the sum of its proper divisors (442648455044).

18593318128009 is an frugal number, since it uses more digits than its factorization.

18593318128009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200644 (or 100322 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 58.

The spelling of 18593318128009 in words is "eighteen trillion, five hundred ninety-three billion, three hundred eighteen million, one hundred twenty-eight thousand, nine".