313921587408 has 160 divisors (see below), whose sum is σ = 953083998720. Its totient is φ = 87778629120.

The previous prime is 313921587379. The next prime is 313921587431. The reversal of 313921587408 is 804785129313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24285235 + ... + 24298157.

It is an arithmetic number, because the mean of its divisors is an integer number (5956774992).

Almost surely, 2^313921587408 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 313921587408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476541999360).

313921587408 is an abundant number, since it is smaller than the sum of its proper divisors (639162411312).

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

313921587408 is a wasteful number, since it uses less digits than its factorization.

313921587408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16497 (or 16491 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 313921587408 in words is "three hundred thirteen billion, nine hundred twenty-one million, five hundred eighty-seven thousand, four hundred eight".