311243677206 has 256 divisors, whose sum is σ = 808051507200. Its totient is φ = 77591416320.

The previous prime is 311243677181. The next prime is 311243677219. The reversal of 311243677206 is 602776342113.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 507738156 + ... + 507738768.

It is an arithmetic number, because the mean of its divisors is an integer number (3156451200).

Almost surely, 2^311243677206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311243677206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404025753600).

311243677206 is an abundant number, since it is smaller than the sum of its proper divisors (496807829994).

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

311243677206 is a wasteful number, since it uses less digits than its factorization.

311243677206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099.

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 311243677206 in words is "three hundred eleven billion, two hundred forty-three million, six hundred seventy-seven thousand, two hundred six".