311111064 has 128 divisors (see below), whose sum is σ = 983923200. Its totient is φ = 90161280.

The previous prime is 311111057. The next prime is 311111069. The reversal of 311111064 is 460111113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311111069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51802 + ... + 57494.

It is an arithmetic number, because the mean of its divisors is an integer number (7686900).

Almost surely, 2^311111064 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 311111064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491961600).

311111064 is an abundant number, since it is smaller than the sum of its proper divisors (672812136).

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

311111064 is a wasteful number, since it uses less digits than its factorization.

311111064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 311111064 is about 17638.3407382894. The cubic root of 311111064 is about 677.5975370074.

Adding to 311111064 its reverse (460111113), we get a palindrome (771222177).

The spelling of 311111064 in words is "three hundred eleven million, one hundred eleven thousand, sixty-four".