18019043062272 has 480 divisors, whose sum is σ = 62858368235520. Its totient is φ = 4854184796160.

The previous prime is 18019043062159. The next prime is 18019043062289. The reversal of 18019043062272 is 27226034091081.

18019043062272 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 90 + 430 + 62 + 2 + 72 = 666.

It is a super-3 number, since 3×18019043062272³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129244633 + ... + 129383975.

It is an arithmetic number, because the mean of its divisors is an integer number (130954933824).

Almost surely, 2^{18019043062272} is an apocalyptic number.

18019043062272 is a gapful number since it is divisible by the number (12) 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 18019043062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31429184117760).

18019043062272 is an abundant number, since it is smaller than the sum of its proper divisors (44839325173248).

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

18019043062272 is a wasteful number, since it uses less digits than its factorization.

18019043062272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139604 (or 139585 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18019043062272 in words is "eighteen trillion, nineteen billion, forty-three million, sixty-two thousand, two hundred seventy-two".