18224780281344 has 2700 divisors, whose sum is σ = 72722063169756. Its totient is φ = 4553559908352.

The previous prime is 18224780281343. The next prime is 18224780281369. The reversal of 18224780281344 is 44318208742281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

18224780281344 is a `hidden beast` number, since 1 + 8 + 2 + 247 + 80 + 281 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18224780281343) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 959198962167 + ... + 959198962185.

Almost surely, 2^{18224780281344} is an apocalyptic number.

18224780281344 is a gapful number since it is divisible by the number (14) 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 18224780281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36361031584878).

18224780281344 is an abundant number, since it is smaller than the sum of its proper divisors (54497282888412).

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

18224780281344 is an frugal number, since it uses more digits than its factorization.

18224780281344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

Multiplying 18224780281344 by its sum of digits (54), we get a square (984138135192576 = 31370976²).

18224780281344 divided by its sum of digits (54) gives a square (337495931136 = 580944²).

The spelling of 18224780281344 in words is "eighteen trillion, two hundred twenty-four billion, seven hundred eighty million, two hundred eighty-one thousand, three hundred forty-four".