18209468054304 has 216 divisors, whose sum is σ = 53829118799820. Its totient is φ = 6063386886144.

The previous prime is 18209468054293. The next prime is 18209468054311. The reversal of 18209468054304 is 40345086490281.

18209468054304 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 94 + 6 + 8 + 0 + 543 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17618334656400 + 591133397904 = 4197420^2 + 768852^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200038752 + ... + 200129760.

Almost surely, 2^{18209468054304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18209468054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26914559399910).

18209468054304 is an abundant number, since it is smaller than the sum of its proper divisors (35619650745516).

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

18209468054304 is an frugal number, since it uses more digits than its factorization.

18209468054304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91996 (or 91967 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 18209468054304 in words is "eighteen trillion, two hundred nine billion, four hundred sixty-eight million, fifty-four thousand, three hundred four".