16818682000 has 80 divisors (see below), whose sum is σ = 40937629824. Its totient is φ = 6682800000.

The previous prime is 16818681983. The next prime is 16818682007. The reversal of 16818682000 is 28681861.

16818682000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (16818682007) 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 15 ways as a sum of consecutive naturals, for example, 274155 + ... + 329845.

Almost surely, 2^16818682000 is an apocalyptic number.

16818682000 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 16818682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468814912).

16818682000 is an abundant number, since it is smaller than the sum of its proper divisors (24118947824).

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

16818682000 is a wasteful number, since it uses less digits than its factorization.

16818682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55865 (or 55849 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 16818682000 in words is "sixteen billion, eight hundred eighteen million, six hundred eighty-two thousand".