321617832490248 has 384 divisors, whose sum is σ = 1000591133875200. Its totient is φ = 84152630315520.

The previous prime is 321617832490177. The next prime is 321617832490249. The reversal of 321617832490248 is 842094238716123.

It is a junction number, because it is equal to n+sod(n) for n = 321617832490191 and 321617832490200.

It is not an unprimeable number, because it can be changed into a prime (321617832490249) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2782175586 + ... + 2782291182.

It is an arithmetic number, because the mean of its divisors is an integer number (2605706077800).

Almost surely, 2^{321617832490248} is an apocalyptic number.

321617832490248 is a gapful number since it is divisible by the number (38) 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 321617832490248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500295566937600).

321617832490248 is an abundant number, since it is smaller than the sum of its proper divisors (678973301384952).

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

321617832490248 is a wasteful number, since it uses less digits than its factorization.

321617832490248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116601 (or 116566 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 321617832490248 in words is "three hundred twenty-one trillion, six hundred seventeen billion, eight hundred thirty-two million, four hundred ninety thousand, two hundred forty-eight".