322320167743968 has 144 divisors (see below), whose sum is σ = 929357840095776. Its totient is φ = 105945039728640.

The previous prime is 322320167743967. The next prime is 322320167744023. The reversal of 322320167743968 is 869347761023223.

322320167743968 is a `hidden beast` number, since 3 + 2 + 2 + 32 + 0 + 167 + 7 + 439 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322320167743967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94338148 + ... + 97695068.

It is an arithmetic number, because the mean of its divisors is an integer number (6453873889554).

Almost surely, 2^{322320167743968} 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 322320167743968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464678920047888).

322320167743968 is an abundant number, since it is smaller than the sum of its proper divisors (607037672351808).

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

322320167743968 is a wasteful number, since it uses less digits than its factorization.

322320167743968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361577 (or 3361566 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 322320167743968 in words is "three hundred twenty-two trillion, three hundred twenty billion, one hundred sixty-seven million, seven hundred forty-three thousand, nine hundred sixty-eight".