413149416349 has 2 divisors, whose sum is σ = 413149416350. Its totient is φ = 413149416348.

The previous prime is 413149416283. The next prime is 413149416401. The reversal of 413149416349 is 943614941314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227114199225 + 186035217124 = 476565^2 + 431318^2 .

It is a cyclic number.

It is not a de Polignac number, because 413149416349 - 2⁷ = 413149416221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413149416649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206574708174 + 206574708175.

It is an arithmetic number, because the mean of its divisors is an integer number (206574708175).

Almost surely, 2^413149416349 is an apocalyptic number.

It is an amenable number.

413149416349 is a deficient number, since it is larger than the sum of its proper divisors (1).

413149416349 is an equidigital number, since it uses as much as digits as its factorization.

413149416349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1119744, while the sum is 49.

The spelling of 413149416349 in words is "four hundred thirteen billion, one hundred forty-nine million, four hundred sixteen thousand, three hundred forty-nine".