321911897861568 has 448 divisors, whose sum is σ = 1007480711577600. Its totient is φ = 88770668359680.

The previous prime is 321911897861539. The next prime is 321911897861633. The reversal of 321911897861568 is 865168798119123.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×321911897861568⁴ (a number of 59 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 321911897861568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54849528138 + ... + 54849534006.

Almost surely, 2^{321911897861568} 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 321911897861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503740355788800).

321911897861568 is an abundant number, since it is smaller than the sum of its proper divisors (685568813716032).

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

321911897861568 is a wasteful number, since it uses less digits than its factorization.

321911897861568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9198 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 75.

The spelling of 321911897861568 in words is "three hundred twenty-one trillion, nine hundred eleven billion, eight hundred ninety-seven million, eight hundred sixty-one thousand, five hundred sixty-eight".