18344188512 has 144 divisors (see below), whose sum is σ = 57549780288. Its totient is φ = 5506652160.

The previous prime is 18344188441. The next prime is 18344188517. The reversal of 18344188512 is 21588144381.

18344188512 is a `hidden beast` number, since 1 + 83 + 44 + 18 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18344188517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93753 + ... + 213255.

It is an arithmetic number, because the mean of its divisors is an integer number (399651252).

Almost surely, 2^18344188512 is an apocalyptic number.

18344188512 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 18344188512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28774890144).

18344188512 is an abundant number, since it is smaller than the sum of its proper divisors (39205591776).

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

18344188512 is a wasteful number, since it uses less digits than its factorization.

18344188512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119573 (or 119562 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

It can be divided in two parts, 183441 and 88512, that added together give a triangular number (271953 = T₇₃₇).

The spelling of 18344188512 in words is "eighteen billion, three hundred forty-four million, one hundred eighty-eight thousand, five hundred twelve".