18140789934432 has 144 divisors (see below), whose sum is σ = 56297132538192. Its totient is φ = 5495308738560.

The previous prime is 18140789934431. The next prime is 18140789934479. The reversal of 18140789934432 is 23443998704181.

18140789934432 is a `hidden beast` number, since 1 + 8 + 1 + 40 + 78 + 9 + 93 + 4 + 432 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18140789934432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18140789934431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8189388 + ... + 10166004.

It is an arithmetic number, because the mean of its divisors is an integer number (390952309293).

Almost surely, 2^{18140789934432} is an apocalyptic number.

18140789934432 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 18140789934432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28148566269096).

18140789934432 is an abundant number, since it is smaller than the sum of its proper divisors (38156342603760).

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

18140789934432 is a wasteful number, since it uses less digits than its factorization.

18140789934432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979541 (or 1979530 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 18140789934432 in words is "eighteen trillion, one hundred forty billion, seven hundred eighty-nine million, nine hundred thirty-four thousand, four hundred thirty-two".