18456743980800 has 3240 divisors, whose sum is σ = 78302017631376. Its totient is φ = 4270833008640.

The previous prime is 18456743980789. The next prime is 18456743980813. The reversal of 18456743980800 is 808934765481.

18456743980800 is a `hidden beast` number, since 1 + 8 + 45 + 6 + 7 + 439 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 172492934347 + ... + 172492934453.

Almost surely, 2^{18456743980800} is an apocalyptic number.

18456743980800 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 18456743980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39151008815688).

18456743980800 is an abundant number, since it is smaller than the sum of its proper divisors (59845273650576).

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

18456743980800 is a wasteful number, since it uses less digits than its factorization.

18456743980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 18456743980800 in words is "eighteen trillion, four hundred fifty-six billion, seven hundred forty-three million, nine hundred eighty thousand, eight hundred".