18156733641216 has 1080 divisors, whose sum is σ = 59178371091840. Its totient is φ = 5355497005056.

The previous prime is 18156733641203. The next prime is 18156733641247. The reversal of 18156733641216 is 61214633765181.

18156733641216 is a `hidden beast` number, since 1 + 8 + 1 + 5 + 67 + 3 + 364 + 1 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41359301925 + ... + 41359302363.

It is an arithmetic number, because the mean of its divisors is an integer number (54794788048).

Almost surely, 2^{18156733641216} is an apocalyptic number.

18156733641216 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 18156733641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29589185545920).

18156733641216 is an abundant number, since it is smaller than the sum of its proper divisors (41021637450624).

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

18156733641216 is a wasteful number, since it uses less digits than its factorization.

18156733641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 533 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 18156733641216 in words is "eighteen trillion, one hundred fifty-six billion, seven hundred thirty-three million, six hundred forty-one thousand, two hundred sixteen".