18019222433856 has 336 divisors, whose sum is σ = 60252740454400. Its totient is φ = 5146567372800.

The previous prime is 18019222433833. The next prime is 18019222433867. The reversal of 18019222433856 is 65833422291081.

18019222433856 is a `hidden beast` number, since 1 + 8 + 0 + 19 + 2 + 2 + 243 + 385 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 635562081 + ... + 635590431.

Almost surely, 2^{18019222433856} is an apocalyptic number.

18019222433856 is a gapful number since it is divisible by the number (16) 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 18019222433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30126370227200).

18019222433856 is an abundant number, since it is smaller than the sum of its proper divisors (42233518020544).

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

18019222433856 is a wasteful number, since it uses less digits than its factorization.

18019222433856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31607 (or 31580 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 18019222433856 in words is "eighteen trillion, nineteen billion, two hundred twenty-two million, four hundred thirty-three thousand, eight hundred fifty-six".