18879584409 has 63 divisors (see below), whose sum is σ = 32973240357. Its totient is φ = 10773494424.

The previous prime is 18879584401. The next prime is 18879584461. The reversal of 18879584409 is 90448597881.

The square root of 18879584409 is 137403.

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

18879584409 is a `hidden beast` number, since 1 + 8 + 8 + 7 + 9 + 584 + 40 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 18879584409 - 2³ = 18879584401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18879584401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 25968804 + ... + 25969530.

Almost surely, 2^18879584409 is an apocalyptic number.

18879584409 is the 137403-rd square number.

18879584409 is the 68702-nd centered octagonal number.

It is an amenable number.

18879584409 is a deficient number, since it is larger than the sum of its proper divisors (14093655948).

18879584409 is an frugal number, since it uses more digits than its factorization.

18879584409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 18879584409 in words is "eighteen billion, eight hundred seventy-nine million, five hundred eighty-four thousand, four hundred nine".