311364444463113 has 32 divisors (see below), whose sum is σ = 426158823803904. Its totient is φ = 202141144800000.

The previous prime is 311364444463091. The next prime is 311364444463139.

It is a happy number.

311364444463113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311364444463113 - 2⁶ = 311364444463049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311364444463153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355008583 + ... + 355884563.

It is an arithmetic number, because the mean of its divisors is an integer number (13317463243872).

Almost surely, 2^{311364444463113} is an apocalyptic number.

It is an amenable number.

311364444463113 is a deficient number, since it is larger than the sum of its proper divisors (114794379340791).

311364444463113 is a wasteful number, since it uses less digits than its factorization.

311364444463113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895377.

The product of its digits is 2985984, while the sum is 48.

The spelling of 311364444463113 in words is "three hundred eleven trillion, three hundred sixty-four billion, four hundred forty-four million, four hundred sixty-three thousand, one hundred thirteen".