313362421680 has 960 divisors, whose sum is σ = 1275692350464. Its totient is φ = 62224588800.

The previous prime is 313362421639. The next prime is 313362421711. The reversal of 313362421680 is 86124263313.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 458802619 + ... + 458803301.

Almost surely, 2^313362421680 is an apocalyptic number.

313362421680 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 313362421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637846175232).

313362421680 is an abundant number, since it is smaller than the sum of its proper divisors (962329928784).

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

313362421680 is a wasteful number, since it uses less digits than its factorization.

313362421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

Adding to 313362421680 its reverse (86124263313), we get a palindrome (399486684993).

The spelling of 313362421680 in words is "three hundred thirteen billion, three hundred sixty-two million, four hundred twenty-one thousand, six hundred eighty".