414213222312414 has 48 divisors (see below), whose sum is σ = 1034747569301472. Its totient is φ = 117299319588864.

The previous prime is 414213222312377. The next prime is 414213222312493.

414213222312414 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 1 + 3 + 2 + 2 + 231 + 2 + 414 = 666.

414213222312414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14546032339 + ... + 14546060814.

It is an arithmetic number, because the mean of its divisors is an integer number (21557241027114).

Almost surely, 2^{414213222312414} is an apocalyptic number.

414213222312414 is an abundant number, since it is smaller than the sum of its proper divisors (620534346989058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414213222312414 is a wasteful number, since it uses less digits than its factorization.

414213222312414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29092093281 (or 29092093278 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 414213222312414 in words is "four hundred fourteen trillion, two hundred thirteen billion, two hundred twenty-two million, three hundred twelve thousand, four hundred fourteen".