321979209216 has 320 divisors, whose sum is σ = 994462064640. Its totient is φ = 90675486720.

The previous prime is 321979209203. The next prime is 321979209221. The reversal of 321979209216 is 612902979123.

It is a super-2 number, since 2×321979209216² (a number of 24 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274960311 + ... + 274961481.

It is an arithmetic number, because the mean of its divisors is an integer number (3107693952).

Almost surely, 2^321979209216 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 321979209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497231032320).

321979209216 is an abundant number, since it is smaller than the sum of its proper divisors (672482855424).

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

321979209216 is a wasteful number, since it uses less digits than its factorization.

321979209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 321979209216 in words is "three hundred twenty-one billion, nine hundred seventy-nine million, two hundred nine thousand, two hundred sixteen".