18604406234304 has 1008 divisors, whose sum is σ = 65275722989568. Its totient is φ = 5230697472000.

The previous prime is 18604406234303. The next prime is 18604406234341. The reversal of 18604406234304 is 40343260440681.

18604406234304 is a `hidden beast` number, since 1 + 8 + 6 + 0 + 4 + 406 + 234 + 3 + 0 + 4 = 666.

It is a super-3 number, since 3×18604406234304³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 18604406234304.

It is not an unprimeable number, because it can be changed into a prime (18604406234303) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2271318849 + ... + 2271327039.

It is an arithmetic number, because the mean of its divisors is an integer number (64757661696).

Almost surely, 2^{18604406234304} 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 18604406234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32637861494784).

18604406234304 is an abundant number, since it is smaller than the sum of its proper divisors (46671316755264).

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

18604406234304 is a wasteful number, since it uses less digits than its factorization.

18604406234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

Adding to 18604406234304 its reverse (40343260440681), we get a palindrome (58947666674985).

The spelling of 18604406234304 in words is "eighteen trillion, six hundred four billion, four hundred six million, two hundred thirty-four thousand, three hundred four".