18345885696000 has 864 divisors, whose sum is σ = 68676526551360. Its totient is φ = 4892236185600.

The previous prime is 18345885695999. The next prime is 18345885696007. The reversal of 18345885696000 is 69658854381.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ 4! ⋅ (2!)¹¹.

18345885696000 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 5 + 8 + 8 + 569 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18345885696007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3669177139198 + ... + 3669177139202.

Almost surely, 2^{18345885696000} is an apocalyptic number.

18345885696000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18345885696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34338263275680).

18345885696000 is an abundant number, since it is smaller than the sum of its proper divisors (50330640855360).

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

18345885696000 is an frugal number, since it uses more digits than its factorization.

18345885696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 18345885696000 in words is "eighteen trillion, three hundred forty-five billion, eight hundred eighty-five million, six hundred ninety-six thousand".