325395018172224 has 1792 divisors, whose sum is σ = 1330183873536000. Its totient is φ = 76851016704000.

The previous prime is 325395018172183. The next prime is 325395018172307. The reversal of 325395018172224 is 422271810593523.

325395018172224 is a `hidden beast` number, since 3 + 2 + 5 + 39 + 501 + 81 + 7 + 2 + 2 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5678668374 + ... + 5678725674.

It is an arithmetic number, because the mean of its divisors is an integer number (742290108000).

Almost surely, 2^{325395018172224} 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 325395018172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665091936768000).

325395018172224 is an abundant number, since it is smaller than the sum of its proper divisors (1004788855363776).

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

325395018172224 is a wasteful number, since it uses less digits than its factorization.

325395018172224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57434 (or 57404 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 325395018172224 in words is "three hundred twenty-five trillion, three hundred ninety-five billion, eighteen million, one hundred seventy-two thousand, two hundred twenty-four".