321509607988674 has 192 divisors, whose sum is σ = 786043742994432. Its totient is φ = 85787699961600.

The previous prime is 321509607988663. The next prime is 321509607988693. The reversal of 321509607988674 is 476889706905123.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 321509607988596 and 321509607988605.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2186605539 + ... + 2186752569.

It is an arithmetic number, because the mean of its divisors is an integer number (4093977828096).

It is a 2-persistent number, because it is pandigital, and so is 2⋅321509607988674 = 643019215977348, but 3⋅321509607988674 = 964528823966022 is not.

Almost surely, 2^{321509607988674} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321509607988674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393021871497216).

321509607988674 is an abundant number, since it is smaller than the sum of its proper divisors (464534135005758).

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

321509607988674 is a wasteful number, since it uses less digits than its factorization.

321509607988674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149129 (or 149100 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 75.

The spelling of 321509607988674 in words is "three hundred twenty-one trillion, five hundred nine billion, six hundred seven million, nine hundred eighty-eight thousand, six hundred seventy-four".