18133217280000 has 1600 divisors, whose sum is σ = 71790682221720. Its totient is φ = 4544004096000.

The previous prime is 18133217279987. The next prime is 18133217280001. The reversal of 18133217280000 is 8271233181.

18133217280000 is a `hidden beast` number, since 1 + 81 + 332 + 172 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18133217280001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 28200959679 + ... + 28200960321.

Almost surely, 2^{18133217280000} is an apocalyptic number.

18133217280000 is a gapful number since it is divisible by the number (10) 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 18133217280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35895341110860).

18133217280000 is an abundant number, since it is smaller than the sum of its proper divisors (53657464941720).

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

18133217280000 is an frugal number, since it uses more digits than its factorization.

18133217280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18133217280000 in words is "eighteen trillion, one hundred thirty-three billion, two hundred seventeen million, two hundred eighty thousand".