18036814320000 has 3200 divisors, whose sum is σ = 80542794055680. Its totient is φ = 3919104000000.

The previous prime is 18036814319989. The next prime is 18036814320001. The reversal of 18036814320000 is 2341863081.

18036814320000 is a `hidden beast` number, since 1 + 80 + 368 + 14 + 3 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18036814320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 142022159937 + ... + 142022160063.

Almost surely, 2^{18036814320000} is an apocalyptic number.

18036814320000 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 18036814320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40271397027840).

18036814320000 is an abundant number, since it is smaller than the sum of its proper divisors (62505979735680).

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

18036814320000 is a wasteful number, since it uses less digits than its factorization.

18036814320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18036814320000 in words is "eighteen trillion, thirty-six billion, eight hundred fourteen million, three hundred twenty thousand".