311112846618 has 256 divisors, whose sum is σ = 769056768000. Its totient is φ = 82032445440.

The previous prime is 311112846613. The next prime is 311112846623. The reversal of 311112846618 is 816648211113.

It is an interprime number because it is at equal distance from previous prime (311112846613) and next prime (311112846623).

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

It is a self number, because there is not a number n which added to its sum of digits gives 311112846618.

It is not an unprimeable number, because it can be changed into a prime (311112846613) by changing a digit.

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, 638835171 + ... + 638835657.

It is an arithmetic number, because the mean of its divisors is an integer number (3004128000).

Almost surely, 2^311112846618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311112846618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384528384000).

311112846618 is an abundant number, since it is smaller than the sum of its proper divisors (457943921382).

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

311112846618 is a wasteful number, since it uses less digits than its factorization.

311112846618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805.

The product of its digits is 55296, while the sum is 42.

The spelling of 311112846618 in words is "three hundred eleven billion, one hundred twelve million, eight hundred forty-six thousand, six hundred eighteen".