314402204413 has 16 divisors (see below), whose sum is σ = 349617435840. Its totient is φ = 280345408000.

The previous prime is 314402204387. The next prime is 314402204429.

314402204413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314402204413 is a prime.

It is a super-2 number, since 2×314402204413² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314402204453) 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 15 ways as a sum of consecutive naturals, for example, 1203508 + ... + 1441261.

It is an arithmetic number, because the mean of its divisors is an integer number (21851089740).

Almost surely, 2^314402204413 is an apocalyptic number.

It is an amenable number.

314402204413 is a deficient number, since it is larger than the sum of its proper divisors (35215231427).

314402204413 is a wasteful number, since it uses less digits than its factorization.

314402204413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644988.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 314402 and 204413, that added together give a palindrome (518815).

The spelling of 314402204413 in words is "three hundred fourteen billion, four hundred two million, two hundred four thousand, four hundred thirteen".