18382289550768 has 480 divisors, whose sum is σ = 60679649878848. Its totient is φ = 5121443635200.

The previous prime is 18382289550743. The next prime is 18382289550791. The reversal of 18382289550768 is 86705598228381.

It is a happy number.

18382289550768 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 2 + 2 + 8 + 9 + 550 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18382289550696 and 18382289550705.

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, 10607206030 + ... + 10607207762.

Almost surely, 2^{18382289550768} is an apocalyptic number.

18382289550768 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 18382289550768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30339824939424).

18382289550768 is an abundant number, since it is smaller than the sum of its proper divisors (42297360328080).

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

18382289550768 is a wasteful number, since it uses less digits than its factorization.

18382289550768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 18382289550768 in words is "eighteen trillion, three hundred eighty-two billion, two hundred eighty-nine million, five hundred fifty thousand, seven hundred sixty-eight".