18924648961009 has 27 divisors (see below), whose sum is σ = 21163173988089. Its totient is φ = 16910106128520.

The previous prime is 18924648960983. The next prime is 18924648961019. The reversal of 18924648961009 is 90016984642981.

The square root of 18924648961009 is 4350247.

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

It is not a de Polignac number, because 18924648961009 - 2⁷ = 18924648960881 is a prime.

It is a super-3 number, since 3×18924648961009³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18924648961019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2823306952 + ... + 2823313654.

Almost surely, 2^{18924648961009} is an apocalyptic number.

18924648961009 is the 4350247-th square number.

18924648961009 is the 2175124-th centered octagonal number.

It is an amenable number.

18924648961009 is a deficient number, since it is larger than the sum of its proper divisors (2238525027080).

18924648961009 is an frugal number, since it uses more digits than its factorization.

18924648961009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13546 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 67.

The spelling of 18924648961009 in words is "eighteen trillion, nine hundred twenty-four billion, six hundred forty-eight million, nine hundred sixty-one thousand, nine".