18094336128 has 288 divisors, whose sum is σ = 57563251200. Its totient is φ = 5451494400.

The previous prime is 18094336109. The next prime is 18094336133. The reversal of 18094336128 is 82163349081.

18094336128 is a `hidden beast` number, since 180 + 94 + 3 + 361 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37774993 + ... + 37775471.

It is an arithmetic number, because the mean of its divisors is an integer number (199872400).

Almost surely, 2^18094336128 is an apocalyptic number.

18094336128 is a gapful number since it is divisible by the number (18) 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 18094336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28781625600).

18094336128 is an abundant number, since it is smaller than the sum of its proper divisors (39468915072).

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

18094336128 is a wasteful number, since it uses less digits than its factorization.

18094336128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 18094336128 in words is "eighteen billion, ninety-four million, three hundred thirty-six thousand, one hundred twenty-eight".