414414022493 has 2 divisors, whose sum is σ = 414414022494. Its totient is φ = 414414022492.

The previous prime is 414414022417. The next prime is 414414022499. The reversal of 414414022493 is 394220414414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241156619929 + 173257402564 = 491077^2 + 416242^2 .

It is a cyclic number.

It is not a de Polignac number, because 414414022493 - 2²⁰ = 414412973917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414414022499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207207011246 + 207207011247.

It is an arithmetic number, because the mean of its divisors is an integer number (207207011247).

Almost surely, 2^414414022493 is an apocalyptic number.

It is an amenable number.

414414022493 is a deficient number, since it is larger than the sum of its proper divisors (1).

414414022493 is an equidigital number, since it uses as much as digits as its factorization.

414414022493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 414414022493 in words is "four hundred fourteen billion, four hundred fourteen million, twenty-two thousand, four hundred ninety-three".