325314043640352 has 480 divisors, whose sum is σ = 1048023649189440. Its totient is φ = 98392440268800.

The previous prime is 325314043640303. The next prime is 325314043640353. The reversal of 325314043640352 is 253046340413523.

325314043640352 is a `hidden beast` number, since 3 + 2 + 5 + 3 + 140 + 436 + 40 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 325314043640298 and 325314043640307.

It is not an unprimeable number, because it can be changed into a prime (325314043640353) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 472714303 + ... + 473401985.

It is an arithmetic number, because the mean of its divisors is an integer number (2183382602478).

Almost surely, 2^{325314043640352} is an apocalyptic number.

325314043640352 is a gapful number since it is divisible by the number (32) 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 325314043640352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524011824594720).

325314043640352 is an abundant number, since it is smaller than the sum of its proper divisors (722709605549088).

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

325314043640352 is a wasteful number, since it uses less digits than its factorization.

325314043640352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687958 (or 687941 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 325314043640352 in words is "three hundred twenty-five trillion, three hundred fourteen billion, forty-three million, six hundred forty thousand, three hundred fifty-two".