314321203024320 has 224 divisors, whose sum is σ = 1005190951564800. Its totient is φ = 83212538056704.

The previous prime is 314321203024273. The next prime is 314321203024327. The reversal of 314321203024320 is 23420302123413.

It is a happy number.

It is a super-2 number, since 2×314321203024320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314321203024327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6105788341 + ... + 6105839819.

It is an arithmetic number, because the mean of its divisors is an integer number (4487459605200).

Almost surely, 2^{314321203024320} is an apocalyptic number.

314321203024320 is a gapful number since it is divisible by the number (30) 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 314321203024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502595475782400).

314321203024320 is an abundant number, since it is smaller than the sum of its proper divisors (690869748540480).

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

314321203024320 is a wasteful number, since it uses less digits than its factorization.

314321203024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97395 (or 97385 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 314321203024320 its reverse (23420302123413), we get a palindrome (337741505147733).

The spelling of 314321203024320 in words is "three hundred fourteen trillion, three hundred twenty-one billion, two hundred three million, twenty-four thousand, three hundred twenty".