18481543200000 has 2160 divisors, whose sum is σ = 76858742600640. Its totient is φ = 4389396480000.

The previous prime is 18481543199971. The next prime is 18481543200077. The reversal of 18481543200000 is 234518481.

18481543200000 is a `hidden beast` number, since 18 + 4 + 81 + 543 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20930399559 + ... + 20930400441.

It is an arithmetic number, because the mean of its divisors is an integer number (35582751204).

Almost surely, 2^{18481543200000} is an apocalyptic number.

18481543200000 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 18481543200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38429371300320).

18481543200000 is an abundant number, since it is smaller than the sum of its proper divisors (58377199400640).

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

18481543200000 is an frugal number, since it uses more digits than its factorization.

18481543200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 18481543200000 its reverse (234518481), we get a palindrome (18481777718481).

The spelling of 18481543200000 in words is "eighteen trillion, four hundred eighty-one billion, five hundred forty-three million, two hundred thousand".