314422202224413 has 24 divisors (see below), whose sum is σ = 458449074883800. Its totient is φ = 207638704209024.

The previous prime is 314422202224349. The next prime is 314422202224511.

314422202224413 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 2 + 2 + 202 + 2 + 2 + 441 + 3 = 666.

314422202224413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 74749632849369 + 239672569375044 = 8645787^2 + 15481362^2 .

It is not a de Polignac number, because 314422202224413 - 2⁶ = 314422202224349 is a prime.

It is a super-2 number, since 2×314422202224413² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314422202224513) 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, 37070358 + ... + 44755511.

It is an arithmetic number, because the mean of its divisors is an integer number (19102044786825).

Almost surely, 2^{314422202224413} is an apocalyptic number.

It is an amenable number.

314422202224413 is a deficient number, since it is larger than the sum of its proper divisors (144026872659387).

314422202224413 is a wasteful number, since it uses less digits than its factorization.

314422202224413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81829901 (or 81829898 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 31442220 and 2224413, that added together give a palindrome (33666633).

The spelling of 314422202224413 in words is "three hundred fourteen trillion, four hundred twenty-two billion, two hundred two million, two hundred twenty-four thousand, four hundred thirteen".