414213120011177 has 2 divisors, whose sum is σ = 414213120011178. Its totient is φ = 414213120011176.

The previous prime is 414213120011153. The next prime is 414213120011213. The reversal of 414213120011177 is 771110021312414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218972191648681 + 195240928362496 = 14797709^2 + 13972864^2 .

It is a cyclic number.

It is not a de Polignac number, because 414213120011177 - 2¹² = 414213120007081 is a prime.

It is not a weakly prime, because it can be changed into another prime (414213120011077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207106560005588 + 207106560005589.

It is an arithmetic number, because the mean of its divisors is an integer number (207106560005589).

Almost surely, 2^{414213120011177} is an apocalyptic number.

It is an amenable number.

414213120011177 is a deficient number, since it is larger than the sum of its proper divisors (1).

414213120011177 is an equidigital number, since it uses as much as digits as its factorization.

414213120011177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9408, while the sum is 35.

The spelling of 414213120011177 in words is "four hundred fourteen trillion, two hundred thirteen billion, one hundred twenty million, eleven thousand, one hundred seventy-seven".