18009707443200 has 1584 divisors, whose sum is σ = 76129198419456. Its totient is φ = 4175799091200.

The previous prime is 18009707443193. The next prime is 18009707443243. The reversal of 18009707443200 is 234470790081.

18009707443200 is a `hidden beast` number, since 1 + 80 + 0 + 9 + 70 + 74 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1573856679 + ... + 1573868121.

Almost surely, 2^{18009707443200} is an apocalyptic number.

18009707443200 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 18009707443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38064599209728).

18009707443200 is an abundant number, since it is smaller than the sum of its proper divisors (58119490976256).

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

18009707443200 is a wasteful number, since it uses less digits than its factorization.

18009707443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522 (or 11487 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 18009707443200 in words is "eighteen trillion, nine billion, seven hundred seven million, four hundred forty-three thousand, two hundred".