18034938841920 has 1792 divisors, whose sum is σ = 79257478938624. Its totient is φ = 3353444352000.

The previous prime is 18034938841903. The next prime is 18034938841921. The reversal of 18034938841920 is 2914883943081.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18034938841921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6579691750 + ... + 6579694490.

It is an arithmetic number, because the mean of its divisors is an integer number (44228503872).

Almost surely, 2^{18034938841920} is an apocalyptic number.

18034938841920 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 18034938841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39628739469312).

18034938841920 is an abundant number, since it is smaller than the sum of its proper divisors (61222540096704).

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

18034938841920 is a wasteful number, since it uses less digits than its factorization.

18034938841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 18034938841920 in words is "eighteen trillion, thirty-four billion, nine hundred thirty-eight million, eight hundred forty-one thousand, nine hundred twenty".