324681189663744 has 891 divisors, whose sum is σ = 1018120209044913. Its totient is φ = 99637375795200.

The previous prime is 324681189663637. The next prime is 324681189663749. The reversal of 324681189663744 is 447366981186423.

The square root of 324681189663744 is 18018912.

It is a perfect power (a square), and thus also a powerful number.

324681189663744 is a `hidden beast` number, since 3 + 2 + 46 + 81 + 1 + 89 + 66 + 374 + 4 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 311423667840000 + 13257521823744 = 17647200^2 + 3641088^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (324681189663749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1793818727334 + ... + 1793818727514.

Almost surely, 2^{324681189663744} is an apocalyptic number.

324681189663744 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

324681189663744 is the 18018912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324681189663744

324681189663744 is an abundant number, since it is smaller than the sum of its proper divisors (693439019381169).

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

324681189663744 is an equidigital number, since it uses as much as digits as its factorization.

324681189663744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 264 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 324681189663744 in words is "three hundred twenty-four trillion, six hundred eighty-one billion, one hundred eighty-nine million, six hundred sixty-three thousand, seven hundred forty-four".