324225489677120 has 224 divisors, whose sum is σ = 795004863530400. Its totient is φ = 125897313484800.

The previous prime is 324225489677099. The next prime is 324225489677143. The reversal of 324225489677120 is 21776984522423.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 110892356935936 + 213333132741184 = 10530544^2 + 14605928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939695996 + ... + 940040964.

It is a 1-persistent number, because it is pandigital, but 2⋅324225489677120 = 648450979354240 is not.

Almost surely, 2^{324225489677120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324225489677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397502431765200).

324225489677120 is an abundant number, since it is smaller than the sum of its proper divisors (470779373853280).

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

324225489677120 is a wasteful number, since it uses less digits than its factorization.

324225489677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345677 (or 345667 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 324225489677120 in words is "three hundred twenty-four trillion, two hundred twenty-five billion, four hundred eighty-nine million, six hundred seventy-seven thousand, one hundred twenty".