18550034560512 has 2880 divisors, whose sum is σ = 74549708513280. Its totient is φ = 4550926270464.

The previous prime is 18550034560511. The next prime is 18550034560559. The reversal of 18550034560512 is 21506543005581.

18550034560512 is a `hidden beast` number, since 1 + 8 + 5 + 5 + 0 + 0 + 34 + 5 + 605 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18550034560511) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 146063264193 + ... + 146063264319.

It is an arithmetic number, because the mean of its divisors is an integer number (25885315456).

Almost surely, 2^{18550034560512} is an apocalyptic number.

18550034560512 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 18550034560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37274854256640).

18550034560512 is an abundant number, since it is smaller than the sum of its proper divisors (55999673952768).

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

18550034560512 is a wasteful number, since it uses less digits than its factorization.

18550034560512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 18550034560512 in words is "eighteen trillion, five hundred fifty billion, thirty-four million, five hundred sixty thousand, five hundred twelve".