321116741180928 has 960 divisors, whose sum is σ = 1177860554956800. Its totient is φ = 81819768176640.

The previous prime is 321116741180897. The next prime is 321116741180969. The reversal of 321116741180928 is 829081147611123.

321116741180928 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 1 + 67 + 411 + 80 + 92 + 8 = 666.

It is a super-2 number, since 2×321116741180928² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 52823938593 + ... + 52823944671.

It is an arithmetic number, because the mean of its divisors is an integer number (1226938078080).

Almost surely, 2^{321116741180928} 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 321116741180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588930277478400).

321116741180928 is an abundant number, since it is smaller than the sum of its proper divisors (856743813775872).

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

321116741180928 is an frugal number, since it uses more digits than its factorization.

321116741180928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 321116741180928 in words is "three hundred twenty-one trillion, one hundred sixteen billion, seven hundred forty-one million, one hundred eighty thousand, nine hundred twenty-eight".