324144016 has 45 divisors (see below), whose sum is σ = 731702331. Its totient is φ = 138702816.

The previous prime is 324144011. The next prime is 324144059. The reversal of 324144016 is 610441423.

The square root of 324144016 is 18004.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (324144011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 503791 + ... + 504433.

Almost surely, 2^324144016 is an apocalyptic number.

324144016 is the 18004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324144016

324144016 is an abundant number, since it is smaller than the sum of its proper divisors (407558315).

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

324144016 is an frugal number, since it uses more digits than its factorization.

324144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 324144016 is about 686.9302941409.

Subtracting from 324144016 its sum of digits (25), we obtain a triangular number (324143991 = T₂₅₄₆₁).

Multiplying 324144016 by its sum of digits (25), we get a square (8103600400 = 90020²).

Multiplying 324144016 by its product of nonzero digits (2304), we get a square (746827812864 = 864192²).

Adding to 324144016 its reverse (610441423), we get a palindrome (934585439).

The spelling of 324144016 in words is "three hundred twenty-four million, one hundred forty-four thousand, sixteen".