314332233413 has 24 divisors (see below), whose sum is σ = 351455239800. Its totient is φ = 280843516800.

The previous prime is 314332233323. The next prime is 314332233419.

314332233413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 67266572164 + 247065661249 = 259358^2 + 497057^2 .

It is not a de Polignac number, because 314332233413 - 2³² = 310037266117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314332233413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314332233419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9408863 + ... + 9442211.

It is an arithmetic number, because the mean of its divisors is an integer number (14643968325).

Almost surely, 2^314332233413 is an apocalyptic number.

It is an amenable number.

314332233413 is a deficient number, since it is larger than the sum of its proper divisors (37123006387).

314332233413 is a wasteful number, since it uses less digits than its factorization.

314332233413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34709 (or 34698 counting only the distinct ones).

The product of its digits is 46656, while the sum is 32.

It can be divided in two parts, 314332 and 233413, that added together give a palindrome (547745).

The spelling of 314332233413 in words is "three hundred fourteen billion, three hundred thirty-two million, two hundred thirty-three thousand, four hundred thirteen".