313342353408 has 224 divisors, whose sum is σ = 959011015680. Its totient is φ = 89140101120.

The previous prime is 313342353377. The next prime is 313342353449. The reversal of 313342353408 is 804353243313.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41111838 + ... + 41119458.

Almost surely, 2^313342353408 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 313342353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479505507840).

313342353408 is an abundant number, since it is smaller than the sum of its proper divisors (645668662272).

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

313342353408 is an equidigital number, since it uses as much as digits as its factorization.

313342353408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 313342353408 in words is "three hundred thirteen billion, three hundred forty-two million, three hundred fifty-three thousand, four hundred eight".