314105222501413 has 8 divisors (see below), whose sum is σ = 359032446636480. Its totient is φ = 269191760739360.

The previous prime is 314105222501311. The next prime is 314105222501437.

314105222501413 is nontrivially palindromic in base 10.

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 314105222501413 - 2²⁵ = 314105188946981 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 (314105222501443) 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 7 ways as a sum of consecutive naturals, for example, 3440544343 + ... + 3440635636.

It is an arithmetic number, because the mean of its divisors is an integer number (44879055829560).

Almost surely, 2^{314105222501413} is an apocalyptic number.

It is an amenable number.

314105222501413 is a deficient number, since it is larger than the sum of its proper divisors (44927224135067).

314105222501413 is an equidigital number, since it uses as much as digits as its factorization.

314105222501413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881186507.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 314105222501413 in words is "three hundred fourteen trillion, one hundred five billion, two hundred twenty-two million, five hundred one thousand, four hundred thirteen".