18806546304 has 640 divisors, whose sum is σ = 71216302080. Its totient is φ = 4792504320.

The previous prime is 18806546299. The next prime is 18806546333. The reversal of 18806546304 is 40364560881.

18806546304 is a `hidden beast` number, since 1 + 8 + 8 + 0 + 6 + 5 + 4 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18806546304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29247807 + ... + 29248449.

It is an arithmetic number, because the mean of its divisors is an integer number (111275472).

Almost surely, 2^18806546304 is an apocalyptic number.

18806546304 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 18806546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35608151040).

18806546304 is an abundant number, since it is smaller than the sum of its proper divisors (52409755776).

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

18806546304 is a wasteful number, since it uses less digits than its factorization.

18806546304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 18806546304 in words is "eighteen billion, eight hundred six million, five hundred forty-six thousand, three hundred four".