18001819805328 has 320 divisors, whose sum is σ = 56494784102400. Its totient is φ = 5463659243520.

The previous prime is 18001819805267. The next prime is 18001819805341. The reversal of 18001819805328 is 82350891810081.

18001819805328 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 18 + 1 + 98 + 0 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 805691725 + ... + 805714067.

It is an arithmetic number, because the mean of its divisors is an integer number (176546200320).

Almost surely, 2^{18001819805328} is an apocalyptic number.

18001819805328 is a gapful number since it is divisible by the number (18) 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 18001819805328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28247392051200).

18001819805328 is an abundant number, since it is smaller than the sum of its proper divisors (38492964297072).

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

18001819805328 is a wasteful number, since it uses less digits than its factorization.

18001819805328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25947 (or 25935 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 18001819805328 in words is "eighteen trillion, one billion, eight hundred nineteen million, eight hundred five thousand, three hundred twenty-eight".