18382709904480 has 288 divisors, whose sum is σ = 65348674110720. Its totient is φ = 4700401643520.

The previous prime is 18382709904469. The next prime is 18382709904487. The reversal of 18382709904480 is 8440990728381.

18382709904480 is a `hidden beast` number, since 1 + 8 + 3 + 82 + 70 + 9 + 9 + 0 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18382709904487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2976774 + ... + 6754746.

It is an arithmetic number, because the mean of its divisors is an integer number (226905118440).

Almost surely, 2^{18382709904480} is an apocalyptic number.

18382709904480 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 18382709904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32674337055360).

18382709904480 is an abundant number, since it is smaller than the sum of its proper divisors (46965964206240).

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

18382709904480 is a wasteful number, since it uses less digits than its factorization.

18382709904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778134 (or 3778123 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 18382709904480 in words is "eighteen trillion, three hundred eighty-two billion, seven hundred nine million, nine hundred four thousand, four hundred eighty".