313664111070000 has 800 divisors, whose sum is σ = 1055746802880000. Its totient is φ = 80122893312000.

The previous prime is 313664111069993. The next prime is 313664111070001. The reversal of 313664111070000 is 70111466313.

It is not an unprimeable number, because it can be changed into a prime (313664111070001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89643928251 + ... + 89643931749.

It is an arithmetic number, because the mean of its divisors is an integer number (1319683503600).

Almost surely, 2^{313664111070000} is an apocalyptic number.

313664111070000 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 313664111070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527873401440000).

313664111070000 is an abundant number, since it is smaller than the sum of its proper divisors (742082691810000).

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

313664111070000 is a wasteful number, since it uses less digits than its factorization.

313664111070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 313664111070000 in words is "three hundred thirteen trillion, six hundred sixty-four billion, one hundred eleven million, seventy thousand".