18382551441408 has 1344 divisors, whose sum is σ = 69405119447040. Its totient is φ = 4548781670400.

The previous prime is 18382551441343. The next prime is 18382551441467. The reversal of 18382551441408 is 80414415528381.

18382551441408 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 2 + 551 + 4 + 41 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×18382551441408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11791244533 + ... + 11791246091.

Almost surely, 2^{18382551441408} is an apocalyptic number.

18382551441408 is a gapful number since it is divisible by the number (18) 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 18382551441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34702559723520).

18382551441408 is an abundant number, since it is smaller than the sum of its proper divisors (51022568005632).

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

18382551441408 is a wasteful number, since it uses less digits than its factorization.

18382551441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

Adding to 18382551441408 its reverse (80414415528381), we get a palindrome (98796966969789).

The spelling of 18382551441408 in words is "eighteen trillion, three hundred eighty-two billion, five hundred fifty-one million, four hundred forty-one thousand, four hundred eight".