18292819284 has 72 divisors (see below), whose sum is σ = 47432227752. Its totient is φ = 5940817920.

The previous prime is 18292819273. The next prime is 18292819301. The reversal of 18292819284 is 48291829281.

18292819284 is a `hidden beast` number, since 1 + 82 + 9 + 281 + 9 + 284 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4505362884 + 13787456400 = 67122^2 + 117420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18292819284.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132932 + ... + 1148964.

It is an arithmetic number, because the mean of its divisors is an integer number (658780941).

Almost surely, 2^18292819284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18292819284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716113876).

18292819284 is an abundant number, since it is smaller than the sum of its proper divisors (29139408468).

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

18292819284 is a wasteful number, since it uses less digits than its factorization.

18292819284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16857 (or 16852 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 18292819284 in words is "eighteen billion, two hundred ninety-two million, eight hundred nineteen thousand, two hundred eighty-four".