323252813088 has 144 divisors (see below), whose sum is σ = 969257016000. Its totient is φ = 101908385280.

The previous prime is 323252813047. The next prime is 323252813099. The reversal of 323252813088 is 880318252323.

323252813088 is a `hidden beast` number, since 3 + 2 + 32 + 528 + 13 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 3228418 + ... + 3327038.

It is an arithmetic number, because the mean of its divisors is an integer number (6730951500).

Almost surely, 2^323252813088 is an apocalyptic number.

323252813088 is a gapful number since it is divisible by the number (38) 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 323252813088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484628508000).

323252813088 is an abundant number, since it is smaller than the sum of its proper divisors (646004202912).

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

323252813088 is a wasteful number, since it uses less digits than its factorization.

323252813088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99255 (or 99244 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 323252813088 in words is "three hundred twenty-three billion, two hundred fifty-two million, eight hundred thirteen thousand, eighty-eight".