314476888674413 has 16 divisors (see below), whose sum is σ = 321124016442096. Its totient is φ = 307893157079040.

The previous prime is 314476888674407. The next prime is 314476888674419.

It is a happy number.

314476888674413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (314476888674407) and next prime (314476888674419).

It can be written as a sum of positive squares in 8 ways, for example, as 134489898732484 + 179986989941929 = 11596978^2 + 13415923^2 .

It is a cyclic number.

It is not a de Polignac number, because 314476888674413 - 2¹² = 314476888670317 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 (314476888674419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265766303 + ... + 266946963.

It is an arithmetic number, because the mean of its divisors is an integer number (20070251027631).

Almost surely, 2^{314476888674413} is an apocalyptic number.

It is an amenable number.

314476888674413 is a deficient number, since it is larger than the sum of its proper divisors (6647127767683).

314476888674413 is a wasteful number, since it uses less digits than its factorization.

314476888674413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207504.

The product of its digits is 2080899072, while the sum is 74.

The spelling of 314476888674413 in words is "three hundred fourteen trillion, four hundred seventy-six billion, eight hundred eighty-eight million, six hundred seventy-four thousand, four hundred thirteen".