321899850340992 has 4608 divisors, whose sum is σ = 1382465416550400. Its totient is φ = 71978935910400.

The previous prime is 321899850340987. The next prime is 321899850341033. The reversal of 321899850340992 is 299043058998123.

321899850340992 is a `hidden beast` number, since 3 + 2 + 1 + 89 + 9 + 8 + 50 + 3 + 409 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 321899850340992.

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 575 ways as a sum of consecutive naturals, for example, 743417668008 + ... + 743417668440.

It is an arithmetic number, because the mean of its divisors is an integer number (300014196300).

Almost surely, 2^{321899850340992} is an apocalyptic number.

321899850340992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321899850340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691232708275200).

321899850340992 is an abundant number, since it is smaller than the sum of its proper divisors (1060565566209408).

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

321899850340992 is a wasteful number, since it uses less digits than its factorization.

321899850340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 321899850340992 in words is "three hundred twenty-one trillion, eight hundred ninety-nine billion, eight hundred fifty million, three hundred forty thousand, nine hundred ninety-two".