311334541056 has 1296 divisors, whose sum is σ = 1204935056640. Its totient is φ = 78982041600.

The previous prime is 311334541013. The next prime is 311334541081. The reversal of 311334541056 is 650145433113.

311334541056 is a `hidden beast` number, since 31 + 1 + 3 + 34 + 541 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 311334541056.

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 143 ways as a sum of consecutive naturals, for example, 2909668555 + ... + 2909668661.

It is an arithmetic number, because the mean of its divisors is an integer number (929733840).

Almost surely, 2^311334541056 is an apocalyptic number.

311334541056 is a gapful number since it is divisible by the number (36) 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 311334541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602467528320).

311334541056 is an abundant number, since it is smaller than the sum of its proper divisors (893600515584).

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

311334541056 is a wasteful number, since it uses less digits than its factorization.

311334541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 311334541056 its reverse (650145433113), we get a palindrome (961479974169).

The spelling of 311334541056 in words is "three hundred eleven billion, three hundred thirty-four million, five hundred forty-one thousand, fifty-six".