18144784640000 has 720 divisors, whose sum is σ = 47992779394560. Its totient is φ = 6855045120000.

The previous prime is 18144784639987. The next prime is 18144784640009. The reversal of 18144784640000 is 4648744181.

It is not an unprimeable number, because it can be changed into a prime (18144784640009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85994239895 + ... + 85994240105.

It is an arithmetic number, because the mean of its divisors is an integer number (66656638048).

Almost surely, 2^{18144784640000} is an apocalyptic number.

18144784640000 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 18144784640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23996389697280).

18144784640000 is an abundant number, since it is smaller than the sum of its proper divisors (29847994754560).

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

18144784640000 is an equidigital number, since it uses as much as digits as its factorization.

18144784640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The spelling of 18144784640000 in words is "eighteen trillion, one hundred forty-four billion, seven hundred eighty-four million, six hundred forty thousand".