325891133568 has 1024 divisors, whose sum is σ = 1308477542400. Its totient is φ = 78068551680.

The previous prime is 325891133521. The next prime is 325891133621. The reversal of 325891133568 is 865331198523.

325891133568 is a `hidden beast` number, since 3 + 2 + 589 + 1 + 1 + 3 + 3 + 56 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280215355 + ... + 280216517.

It is an arithmetic number, because the mean of its divisors is an integer number (1277810100).

Almost surely, 2^325891133568 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 325891133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654238771200).

325891133568 is an abundant number, since it is smaller than the sum of its proper divisors (982586408832).

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

325891133568 is a wasteful number, since it uses less digits than its factorization.

325891133568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1199 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

It can be divided in two parts, 32589113 and 3568, that added together give a square (32592681 = 5709²).

The spelling of 325891133568 in words is "three hundred twenty-five billion, eight hundred ninety-one million, one hundred thirty-three thousand, five hundred sixty-eight".