321330380852448 has 288 divisors, whose sum is σ = 1024663820779872. Its totient is φ = 94660882329600.

The previous prime is 321330380852447. The next prime is 321330380852531. The reversal of 321330380852448 is 844258083033123.

321330380852448 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 30 + 3 + 80 + 8 + 524 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 321330380852394 and 321330380852403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321330380852443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137271490 + ... + 139592702.

It is an arithmetic number, because the mean of its divisors is an integer number (3557860488819).

Almost surely, 2^{321330380852448} 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 321330380852448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512331910389936).

321330380852448 is an abundant number, since it is smaller than the sum of its proper divisors (703333439927424).

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

321330380852448 is a wasteful number, since it uses less digits than its factorization.

321330380852448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322458 (or 2322447 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 321330380852448 in words is "three hundred twenty-one trillion, three hundred thirty billion, three hundred eighty million, eight hundred fifty-two thousand, four hundred forty-eight".