1829691780409 has 2 divisors, whose sum is σ = 1829691780410. Its totient is φ = 1829691780408.

The previous prime is 1829691780331. The next prime is 1829691780421. The reversal of 1829691780409 is 9040871969281.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1503161821225 + 326529959184 = 1226035^2 + 571428^2 .

It is a cyclic number.

It is not a de Polignac number, because 1829691780409 - 2¹⁵ = 1829691747641 is a prime.

It is a super-2 number, since 2×1829691780409² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1829691780439) 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, 914845890204 + 914845890205.

It is an arithmetic number, because the mean of its divisors is an integer number (914845890205).

Almost surely, 2^{1829691780409} is an apocalyptic number.

It is an amenable number.

1829691780409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1829691780409 is an equidigital number, since it uses as much as digits as its factorization.

1829691780409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15676416, while the sum is 64.

The spelling of 1829691780409 in words is "one trillion, eight hundred twenty-nine billion, six hundred ninety-one million, seven hundred eighty thousand, four hundred nine".