313326646623312 has 320 divisors, whose sum is σ = 1008986530443264. Its totient is φ = 81731030261760.

The previous prime is 313326646623269. The next prime is 313326646623343. The reversal of 313326646623312 is 213326646623313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 67715373 + ... + 72194355.

Almost surely, 2^{313326646623312} 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 313326646623312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504493265221632).

313326646623312 is an abundant number, since it is smaller than the sum of its proper divisors (695659883819952).

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

313326646623312 is a wasteful number, since it uses less digits than its factorization.

313326646623312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479386 (or 4479380 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 51.

Subtracting from 313326646623312 its reverse (213326646623313), we obtain a palindrome (99999999999999).

The spelling of 313326646623312 in words is "three hundred thirteen trillion, three hundred twenty-six billion, six hundred forty-six million, six hundred twenty-three thousand, three hundred twelve".