324218376784225 has 81 divisors (see below), whose sum is σ = 514059802032441. Its totient is φ = 202105835500800.

The previous prime is 324218376784193. The next prime is 324218376784229. The reversal of 324218376784225 is 522487673812423.

The square root of 324218376784225 is 18006065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 60143266633681 + 264075110150544 = 7755209^2 + 16250388^2 .

It is not a de Polignac number, because 324218376784225 - 2⁵ = 324218376784193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (324218376784229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6932311641 + ... + 6932358409.

Almost surely, 2^{324218376784225} is an apocalyptic number.

324218376784225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

324218376784225 is the 18006065-th square number.

324218376784225 is the 9003033-rd centered octagonal number.

It is an amenable number.

324218376784225 is a deficient number, since it is larger than the sum of its proper divisors (189841425248216).

324218376784225 is an frugal number, since it uses more digits than its factorization.

324218376784225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93584 (or 46792 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 64.

The spelling of 324218376784225 in words is "three hundred twenty-four trillion, two hundred eighteen billion, three hundred seventy-six million, seven hundred eighty-four thousand, two hundred twenty-five".