338008022249 has 2 divisors, whose sum is σ = 338008022250. Its totient is φ = 338008022248.

The previous prime is 338008022227. The next prime is 338008022267. The reversal of 338008022249 is 942220800833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182107027600 + 155900994649 = 426740^2 + 394843^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338008022249 is a prime.

It is a super-2 number, since 2×338008022249² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (338008022449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169004011124 + 169004011125.

It is an arithmetic number, because the mean of its divisors is an integer number (169004011125).

Almost surely, 2^338008022249 is an apocalyptic number.

It is an amenable number.

338008022249 is a deficient number, since it is larger than the sum of its proper divisors (1).

338008022249 is an equidigital number, since it uses as much as digits as its factorization.

338008022249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 338008022249 in words is "three hundred thirty-eight billion, eight million, twenty-two thousand, two hundred forty-nine".