18340182000 has 640 divisors, whose sum is σ = 76137984000. Its totient is φ = 4185043200.

The previous prime is 18340181987. The next prime is 18340182017. The reversal of 18340182000 is 28104381.

18340182000 is a `hidden beast` number, since 183 + 401 + 82 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 30617701 + ... + 30618299.

It is an arithmetic number, because the mean of its divisors is an integer number (118965600).

Almost surely, 2^18340182000 is an apocalyptic number.

18340182000 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 18340182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38068992000).

18340182000 is an abundant number, since it is smaller than the sum of its proper divisors (57797802000).

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

18340182000 is an frugal number, since it uses more digits than its factorization.

18340182000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 18340182000 its reverse (28104381), we get a palindrome (18368286381).

The spelling of 18340182000 in words is "eighteen billion, three hundred forty million, one hundred eighty-two thousand".