321345226944 has 420 divisors, whose sum is σ = 1112333041776. Its totient is φ = 91461436416.

The previous prime is 321345226907. The next prime is 321345226957. The reversal of 321345226944 is 449622543123.

321345226944 is a `hidden beast` number, since 3 + 2 + 1 + 34 + 522 + 6 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 321345226944.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70360149 + ... + 70364715.

Almost surely, 2^321345226944 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 321345226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556166520888).

321345226944 is an abundant number, since it is smaller than the sum of its proper divisors (790987814832).

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

321345226944 is a wasteful number, since it uses less digits than its factorization.

321345226944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4856 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 321345226944 in words is "three hundred twenty-one billion, three hundred forty-five million, two hundred twenty-six thousand, nine hundred forty-four".