325648414963200 has 480 divisors, whose sum is σ = 1229529064389120. Its totient is φ = 74428474982400.

The previous prime is 325648414963171. The next prime is 325648414963217. The reversal of 325648414963200 is 2369414846523.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4534888896 + ... + 4534960704.

It is an arithmetic number, because the mean of its divisors is an integer number (2561518884144).

Almost surely, 2^{325648414963200} is an apocalyptic number.

325648414963200 is a gapful number since it is divisible by the number (30) 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 325648414963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614764532194560).

325648414963200 is an abundant number, since it is smaller than the sum of its proper divisors (903880649425920).

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

325648414963200 is a wasteful number, since it uses less digits than its factorization.

325648414963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88718 (or 88697 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 325648414963200 in words is "three hundred twenty-five trillion, six hundred forty-eight billion, four hundred fourteen million, nine hundred sixty-three thousand, two hundred".