18341138984064 has 512 divisors, whose sum is σ = 55225393574400. Its totient is φ = 5353979904000.

The previous prime is 18341138984053. The next prime is 18341138984081. The reversal of 18341138984064 is 46048983114381.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18341138983989 and 18341138984007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3217176414 + ... + 3217182114.

It is an arithmetic number, because the mean of its divisors is an integer number (107862096825).

Almost surely, 2^{18341138984064} 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 18341138984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27612696787200).

18341138984064 is an abundant number, since it is smaller than the sum of its proper divisors (36884254590336).

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

18341138984064 is a wasteful number, since it uses less digits than its factorization.

18341138984064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 18341138984064 in words is "eighteen trillion, three hundred forty-one billion, one hundred thirty-eight million, nine hundred eighty-four thousand, sixty-four".