321005211315264 has 2688 divisors, whose sum is σ = 1190013327360000. Its totient is φ = 82390142435328.

The previous prime is 321005211315247. The next prime is 321005211315281. The reversal of 321005211315264 is 462513112500123.

321005211315264 is a `hidden beast` number, since 3 + 2 + 10 + 0 + 5 + 2 + 113 + 1 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (321005211315247) and next prime (321005211315281).

It is a super-3 number, since 3×321005211315264³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1343118038857 + ... + 1343118039095.

Almost surely, 2^{321005211315264} 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 321005211315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595006663680000).

321005211315264 is an abundant number, since it is smaller than the sum of its proper divisors (869008116044736).

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

321005211315264 is a wasteful number, since it uses less digits than its factorization.

321005211315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 321005211315264 its reverse (462513112500123), we get a palindrome (783518323815387).

The spelling of 321005211315264 in words is "three hundred twenty-one trillion, five billion, two hundred eleven million, three hundred fifteen thousand, two hundred sixty-four".