314022464220413 has 8 divisors (see below), whose sum is σ = 341526335802456. Its totient is φ = 286996920840000.

The previous prime is 314022464220403. The next prime is 314022464220529.

314022464220413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 127755706650649 + 186266757569764 = 11302907^2 + 13647958^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314022464220413 - 2¹² = 314022464216317 is a prime.

It is a super-2 number, since 2×314022464220413² (a number of 30 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 (314022464220403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119582049038 + ... + 119582051663.

It is an arithmetic number, because the mean of its divisors is an integer number (42690791975307).

Almost surely, 2^{314022464220413} is an apocalyptic number.

It is an amenable number.

314022464220413 is a deficient number, since it is larger than the sum of its proper divisors (27503871582043).

314022464220413 is a wasteful number, since it uses less digits than its factorization.

314022464220413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239164100815.

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 314022464220413 in words is "three hundred fourteen trillion, twenty-two billion, four hundred sixty-four million, two hundred twenty thousand, four hundred thirteen".