321401313216 has 84 divisors (see below), whose sum is σ = 953005739400. Its totient is φ = 103439497728.

The previous prime is 321401313143. The next prime is 321401313241. The reversal of 321401313216 is 612313104123.

It is a happy number.

321401313216 is a `hidden beast` number, since 32 + 1 + 401 + 3 + 13 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 321401313216.

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 11 ways as a sum of consecutive naturals, for example, 9603786 + ... + 9637193.

Almost surely, 2^321401313216 is an apocalyptic number.

321401313216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

321401313216 is an abundant number, since it is smaller than the sum of its proper divisors (631604426184).

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

321401313216 is a wasteful number, since it uses less digits than its factorization.

321401313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19241026 (or 19241013 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 321401313216 its reverse (612313104123), we get a palindrome (933714417339).

The spelling of 321401313216 in words is "three hundred twenty-one billion, four hundred one million, three hundred thirteen thousand, two hundred sixteen".