324324288216144 has 400 divisors, whose sum is σ = 1026092751146496. Its totient is φ = 98454511411200.

The previous prime is 324324288216079. The next prime is 324324288216163. The reversal of 324324288216144 is 441612882423423.

324324288216144 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 2 + 4 + 288 + 216 + 144 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6704908279 + ... + 6704956649.

Almost surely, 2^{324324288216144} is an apocalyptic number.

324324288216144 is a gapful number since it is divisible by the number (34) 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 324324288216144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513046375573248).

324324288216144 is an abundant number, since it is smaller than the sum of its proper divisors (701768462930352).

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

324324288216144 is a wasteful number, since it uses less digits than its factorization.

324324288216144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58256 (or 58241 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 324324288216144 in words is "three hundred twenty-four trillion, three hundred twenty-four billion, two hundred eighty-eight million, two hundred sixteen thousand, one hundred forty-four".