313350216505344 has 1008 divisors, whose sum is σ = 994076758944360. Its totient is φ = 98689398865920.

The previous prime is 313350216505307. The next prime is 313350216505369. The reversal of 313350216505344 is 443505612053313.

313350216505344 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 50 + 2 + 1 + 65 + 0 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 313350216505344.

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 345479841339 + ... + 345479842245.

Almost surely, 2^{313350216505344} 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 313350216505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497038379472180).

313350216505344 is an abundant number, since it is smaller than the sum of its proper divisors (680726542439016).

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

313350216505344 is an frugal number, since it uses more digits than its factorization.

313350216505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

Adding to 313350216505344 its reverse (443505612053313), we get a palindrome (756855828558657).

The spelling of 313350216505344 in words is "three hundred thirteen trillion, three hundred fifty billion, two hundred sixteen million, five hundred five thousand, three hundred forty-four".