18135097344 has 896 divisors, whose sum is σ = 71340756480. Its totient is φ = 4416602112.

The previous prime is 18135097313. The next prime is 18135097369. The reversal of 18135097344 is 44379053181.

18135097344 is a `hidden beast` number, since 181 + 350 + 97 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a self number, because there is not a number n which added to its sum of digits gives 18135097344.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 342171622 + ... + 342171674.

It is an arithmetic number, because the mean of its divisors is an integer number (79621380).

Almost surely, 2^18135097344 is an apocalyptic number.

18135097344 is a gapful number since it is divisible by the number (14) 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 18135097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35670378240).

18135097344 is an abundant number, since it is smaller than the sum of its proper divisors (53205659136).

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

18135097344 is a wasteful number, since it uses less digits than its factorization.

18135097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 18135097344 in words is "eighteen billion, one hundred thirty-five million, ninety-seven thousand, three hundred forty-four".