314365563413 has 32 divisors (see below), whose sum is σ = 351573834240. Its totient is φ = 278700687360.

The previous prime is 314365563401. The next prime is 314365563427.

It is a happy number.

314365563413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314365563413 - 2¹² = 314365559317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314365563493) 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, 28267268 + ... + 28278386.

It is an arithmetic number, because the mean of its divisors is an integer number (10986682320).

Almost surely, 2^314365563413 is an apocalyptic number.

It is an amenable number.

314365563413 is a deficient number, since it is larger than the sum of its proper divisors (37208270827).

314365563413 is a wasteful number, since it uses less digits than its factorization.

314365563413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597.

The product of its digits is 1166400, while the sum is 44.

It can be divided in two parts, 314365 and 563413, that added together give a palindrome (877778).

The spelling of 314365563413 in words is "three hundred fourteen billion, three hundred sixty-five million, five hundred sixty-three thousand, four hundred thirteen".