209829416249 has 2 divisors, whose sum is σ = 209829416250. Its totient is φ = 209829416248.

The previous prime is 209829416179. The next prime is 209829416309. The reversal of 209829416249 is 942614928902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207698947600 + 2130468649 = 455740^2 + 46157^2 .

It is a cyclic number.

It is not a de Polignac number, because 209829416249 - 2¹⁶ = 209829350713 is a prime.

It is a super-2 number, since 2×209829416249² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 209829416194 and 209829416203.

It is not a weakly prime, because it can be changed into another prime (209829416549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104914708124 + 104914708125.

It is an arithmetic number, because the mean of its divisors is an integer number (104914708125).

Almost surely, 2^209829416249 is an apocalyptic number.

It is an amenable number.

209829416249 is a deficient number, since it is larger than the sum of its proper divisors (1).

209829416249 is an equidigital number, since it uses as much as digits as its factorization.

209829416249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4478976, while the sum is 56.

The spelling of 209829416249 in words is "two hundred nine billion, eight hundred twenty-nine million, four hundred sixteen thousand, two hundred forty-nine".