34144313183969 has 2 divisors, whose sum is σ = 34144313183970. Its totient is φ = 34144313183968.

The previous prime is 34144313183963. The next prime is 34144313183987. The reversal of 34144313183969 is 96938131344143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28603114883344 + 5541198300625 = 5348188^2 + 2353975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34144313183969 is a prime.

It is a super-2 number, since 2×34144313183969² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34144313183963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17072156591984 + 17072156591985.

It is an arithmetic number, because the mean of its divisors is an integer number (17072156591985).

Almost surely, 2^{34144313183969} is an apocalyptic number.

It is an amenable number.

34144313183969 is a deficient number, since it is larger than the sum of its proper divisors (1).

34144313183969 is an equidigital number, since it uses as much as digits as its factorization.

34144313183969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20155392, while the sum is 59.

The spelling of 34144313183969 in words is "thirty-four trillion, one hundred forty-four billion, three hundred thirteen million, one hundred eighty-three thousand, nine hundred sixty-nine".