323216345088 has 1152 divisors, whose sum is σ = 1219159468800. Its totient is φ = 83846430720.

The previous prime is 323216345069. The next prime is 323216345099. The reversal of 323216345088 is 880543612323.

323216345088 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 1 + 634 + 5 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5298628578 + ... + 5298628638.

It is an arithmetic number, because the mean of its divisors is an integer number (1058298150).

Almost surely, 2^323216345088 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 323216345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609579734400).

323216345088 is an abundant number, since it is smaller than the sum of its proper divisors (895943123712).

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

323216345088 is an frugal number, since it uses more digits than its factorization.

323216345088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 323216345088 in words is "three hundred twenty-three billion, two hundred sixteen million, three hundred forty-five thousand, eighty-eight".