18005063328 has 576 divisors, whose sum is σ = 64393056000. Its totient is φ = 4755179520.

The previous prime is 18005063201. The next prime is 18005063357. The reversal of 18005063328 is 82336050081.

18005063328 is a `hidden beast` number, since 18 + 0 + 0 + 5 + 0 + 633 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18005063292 and 18005063301.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99475398 + ... + 99475578.

It is an arithmetic number, because the mean of its divisors is an integer number (111793500).

Almost surely, 2^18005063328 is an apocalyptic number.

18005063328 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 18005063328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32196528000).

18005063328 is an abundant number, since it is smaller than the sum of its proper divisors (46387992672).

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

18005063328 is a wasteful number, since it uses less digits than its factorization.

18005063328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 18005063328 in words is "eighteen billion, five million, sixty-three thousand, three hundred twenty-eight".