311816968960 has 576 divisors, whose sum is σ = 915502694400. Its totient is φ = 99463643136.

The previous prime is 311816968921. The next prime is 311816968979. The reversal of 311816968960 is 69869618113.

It is a junction number, because it is equal to n+sod(n) for n = 311816968895 and 311816968904.

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 63 ways as a sum of consecutive naturals, for example, 1741994151 + ... + 1741994329.

It is an arithmetic number, because the mean of its divisors is an integer number (1589414400).

Almost surely, 2^311816968960 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 311816968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457751347200).

311816968960 is an abundant number, since it is smaller than the sum of its proper divisors (603685725440).

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

311816968960 is a wasteful number, since it uses less digits than its factorization.

311816968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 58.

The spelling of 311816968960 in words is "three hundred eleven billion, eight hundred sixteen million, nine hundred sixty-eight thousand, nine hundred sixty".