18333580872544 has 96 divisors (see below), whose sum is σ = 41478935210496. Its totient is φ = 7813777121280.

The previous prime is 18333580872521. The next prime is 18333580872553. The reversal of 18333580872544 is 44527808533381.

It is a super-3 number, since 3×18333580872544³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124737339 + ... + 124884229.

It is an arithmetic number, because the mean of its divisors is an integer number (432072241776).

Almost surely, 2^{18333580872544} is an apocalyptic number.

18333580872544 is a gapful number since it is divisible by the number (14) 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 18333580872544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20739467605248).

18333580872544 is an abundant number, since it is smaller than the sum of its proper divisors (23145354337952).

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

18333580872544 is a wasteful number, since it uses less digits than its factorization.

18333580872544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149988 (or 149980 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 61.

The spelling of 18333580872544 in words is "eighteen trillion, three hundred thirty-three billion, five hundred eighty million, eight hundred seventy-two thousand, five hundred forty-four".