18009838440000 has 945 divisors, whose sum is σ = 71014598694039. Its totient is φ = 4359231360000.

The previous prime is 18009838439969. The next prime is 18009838440019. The reversal of 18009838440000 is 4483890081.

The square root of 18009838440000 is 4243800.

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

18009838440000 is a `hidden beast` number, since 1 + 80 + 0 + 98 + 3 + 84 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1411971333696 + 16597867106304 = 1188264^2 + 4074048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 28009079679 + ... + 28009080321.

Almost surely, 2^{18009838440000} is an apocalyptic number.

18009838440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18009838440000 is the 4243800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18009838440000

18009838440000 is an abundant number, since it is smaller than the sum of its proper divisors (53004760254039).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18009838440000 is an frugal number, since it uses more digits than its factorization.

18009838440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18009838440000 in words is "eighteen trillion, nine billion, eight hundred thirty-eight million, four hundred forty thousand".