313644446313 has 32 divisors (see below), whose sum is σ = 466944445440. Its totient is φ = 185617266240.

The previous prime is 313644446281. The next prime is 313644446317.

313644446313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313644446313 - 2⁵ = 313644446281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313644446317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5666908 + ... + 5721986.

It is an arithmetic number, because the mean of its divisors is an integer number (14592013920).

Almost surely, 2^313644446313 is an apocalyptic number.

313644446313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313644446313 is a deficient number, since it is larger than the sum of its proper divisors (153299999127).

313644446313 is a wasteful number, since it uses less digits than its factorization.

313644446313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59149.

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 313644 and 446313, that added together give a palindrome (759957).

The spelling of 313644446313 in words is "three hundred thirteen billion, six hundred forty-four million, four hundred forty-six thousand, three hundred thirteen".