311341822848 has 960 divisors, whose sum is σ = 1136621185920. Its totient is φ = 84234608640.

The previous prime is 311341822843. The next prime is 311341822859. The reversal of 311341822848 is 848228143113.

311341822848 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 418 + 228 + 4 + 8 = 666.

It is a super-2 number, since 2×311341822848² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311341822843) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 834696390 + ... + 834696762.

It is an arithmetic number, because the mean of its divisors is an integer number (1183980402).

Almost surely, 2^311341822848 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 311341822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568310592960).

311341822848 is an abundant number, since it is smaller than the sum of its proper divisors (825279363072).

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

311341822848 is a wasteful number, since it uses less digits than its factorization.

311341822848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 469 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 311341822848 in words is "three hundred eleven billion, three hundred forty-one million, eight hundred twenty-two thousand, eight hundred forty-eight".