322705368648 has 192 divisors, whose sum is σ = 1000125584640. Its totient is φ = 93121615872.

The previous prime is 322705368647. The next prime is 322705368649. The reversal of 322705368648 is 846863507223.

322705368648 is a `hidden beast` number, since 3 + 2 + 27 + 0 + 536 + 86 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (322705368647) and next prime (322705368649).

It is a junction number, because it is equal to n+sod(n) for n = 322705368594 and 322705368603.

It is not an unprimeable number, because it can be changed into a prime (322705368647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4467265 + ... + 4538927.

It is an arithmetic number, because the mean of its divisors is an integer number (5208987420).

Almost surely, 2^322705368648 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 322705368648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500062792320).

322705368648 is an abundant number, since it is smaller than the sum of its proper divisors (677420215992).

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

322705368648 is a wasteful number, since it uses less digits than its factorization.

322705368648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71988 (or 71981 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 322705368648 in words is "three hundred twenty-two billion, seven hundred five million, three hundred sixty-eight thousand, six hundred forty-eight".