322124341968 has 960 divisors, whose sum is σ = 1175599256832. Its totient is φ = 83886243840.

The previous prime is 322124341967. The next prime is 322124341997. The reversal of 322124341968 is 869143421223.

322124341968 is a `hidden beast` number, since 3 + 2 + 21 + 2 + 434 + 196 + 8 = 666.

It is a super-2 number, since 2×322124341968² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322124341961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1635148846 + ... + 1635149042.

Almost surely, 2^322124341968 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 322124341968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587799628416).

322124341968 is an abundant number, since it is smaller than the sum of its proper divisors (853474914864).

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

322124341968 is a wasteful number, since it uses less digits than its factorization.

322124341968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 416 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 322124341968 in words is "three hundred twenty-two billion, one hundred twenty-four million, three hundred forty-one thousand, nine hundred sixty-eight".