321213066048 has 840 divisors, whose sum is σ = 1150439021952. Its totient is φ = 86780160000.

The previous prime is 321213066047. The next prime is 321213066073. The reversal of 321213066048 is 840660312123.

321213066048 is a `hidden beast` number, since 3 + 2 + 12 + 1 + 30 + 6 + 604 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321213066043) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 2127238773 + ... + 2127238923.

Almost surely, 2^321213066048 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 321213066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575219510976).

321213066048 is an abundant number, since it is smaller than the sum of its proper divisors (829225955904).

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

321213066048 is a wasteful number, since it uses less digits than its factorization.

321213066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 321213066048 in words is "three hundred twenty-one billion, two hundred thirteen million, sixty-six thousand, forty-eight".