18782846337864 has 256 divisors, whose sum is σ = 57589217118720. Its totient is φ = 4982986506240.

The previous prime is 18782846337859. The next prime is 18782846337869. The reversal of 18782846337864 is 46873364828781.

It is an interprime number because it is at equal distance from previous prime (18782846337859) and next prime (18782846337869).

It is a super-2 number, since 2×18782846337864² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18782846337869) by changing a digit.

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, 87712204 + ... + 87926084.

It is an arithmetic number, because the mean of its divisors is an integer number (224957879370).

Almost surely, 2^{18782846337864} is an apocalyptic number.

18782846337864 is a gapful number since it is divisible by the number (14) 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 18782846337864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28794608559360).

18782846337864 is an abundant number, since it is smaller than the sum of its proper divisors (38806370780856).

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

18782846337864 is a wasteful number, since it uses less digits than its factorization.

18782846337864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214328 (or 214324 counting only the distinct ones).

The product of its digits is 2080899072, while the sum is 75.

The spelling of 18782846337864 in words is "eighteen trillion, seven hundred eighty-two billion, eight hundred forty-six million, three hundred thirty-seven thousand, eight hundred sixty-four".