314320312010000 has 200 divisors, whose sum is σ = 764194379538744. Its totient is φ = 125201190400000.

The previous prime is 314320312009939. The next prime is 314320312010053. The reversal of 314320312010000 is 10213023413.

It can be written as a sum of positive squares in 20 ways, for example, as 313755186954496 + 565125055504 = 17713136^2 + 751748^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3811888772 + ... + 3811971228.

Almost surely, 2^{314320312010000} 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 314320312010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382097189769372).

314320312010000 is an abundant number, since it is smaller than the sum of its proper divisors (449874067528744).

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

314320312010000 is a wasteful number, since it uses less digits than its factorization.

314320312010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84079 (or 84058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 314320312010000 its reverse (10213023413), we get a palindrome (314330525033413).

The spelling of 314320312010000 in words is "three hundred fourteen trillion, three hundred twenty billion, three hundred twelve million, ten thousand".