18504221883264 has 448 divisors, whose sum is σ = 63023486203440. Its totient is φ = 5358682718208.

The previous prime is 18504221883239. The next prime is 18504221883311. The reversal of 18504221883264 is 46238812240581.

18504221883264 is a `hidden beast` number, since 1 + 8 + 5 + 0 + 422 + 188 + 32 + 6 + 4 = 666.

It is a super-3 number, since 3×18504221883264³ (a number of 41 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18504221883264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20173299 + ... + 21070605.

Almost surely, 2^{18504221883264} 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 18504221883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31511743101720).

18504221883264 is an abundant number, since it is smaller than the sum of its proper divisors (44519264320176).

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

18504221883264 is an equidigital number, since it uses as much as digits as its factorization.

18504221883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897369 (or 897342 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 18504221883264 in words is "eighteen trillion, five hundred four billion, two hundred twenty-one million, eight hundred eighty-three thousand, two hundred sixty-four".