325538164224 has 960 divisors, whose sum is σ = 1212562391040. Its totient is φ = 81776148480.

The previous prime is 325538164213. The next prime is 325538164247. The reversal of 325538164224 is 422461835523.

325538164224 is a `hidden beast` number, since 32 + 5 + 538 + 1 + 64 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 325538164224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1026934114 + ... + 1026934430.

It is an arithmetic number, because the mean of its divisors is an integer number (1263085824).

Almost surely, 2^325538164224 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 325538164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606281195520).

325538164224 is an abundant number, since it is smaller than the sum of its proper divisors (887024226816).

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

325538164224 is a wasteful number, since it uses less digits than its factorization.

325538164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

Adding to 325538164224 its reverse (422461835523), we get a palindrome (747999999747).

The spelling of 325538164224 in words is "three hundred twenty-five billion, five hundred thirty-eight million, one hundred sixty-four thousand, two hundred twenty-four".