18441380160 has 1120 divisors, whose sum is σ = 80051989248. Its totient is φ = 3941498880.

The previous prime is 18441380159. The next prime is 18441380189. The reversal of 18441380160 is 6108314481.

It is a happy number.

18441380160 is a `hidden beast` number, since 1 + 8 + 4 + 413 + 80 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 275244447 + ... + 275244513.

Almost surely, 2^18441380160 is an apocalyptic number.

18441380160 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 18441380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40025994624).

18441380160 is an abundant number, since it is smaller than the sum of its proper divisors (61610609088).

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

18441380160 is a wasteful number, since it uses less digits than its factorization.

18441380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18441380160 in words is "eighteen billion, four hundred forty-one million, three hundred eighty thousand, one hundred sixty".