18450688205664 has 1296 divisors, whose sum is σ = 65988341952624. Its totient is φ = 5030785843200.

The previous prime is 18450688205639. The next prime is 18450688205671. The reversal of 18450688205664 is 46650288605481.

18450688205664 is a `hidden beast` number, since 1 + 8 + 4 + 5 + 0 + 68 + 8 + 2 + 0 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16002330912 + ... + 16002332064.

It is an arithmetic number, because the mean of its divisors is an integer number (50916930519).

Almost surely, 2^{18450688205664} 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 18450688205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32994170976312).

18450688205664 is an abundant number, since it is smaller than the sum of its proper divisors (47537653746960).

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

18450688205664 is a wasteful number, since it uses less digits than its factorization.

18450688205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 18450688205664 in words is "eighteen trillion, four hundred fifty billion, six hundred eighty-eight million, two hundred five thousand, six hundred sixty-four".