73349694337 has 2 divisors, whose sum is σ = 73349694338. Its totient is φ = 73349694336.

The previous prime is 73349694329. The next prime is 73349694343.

73349694337 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48055654656 + 25294039681 = 219216^2 + 159041^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 73349694337 - 2³ = 73349694329 is a prime.

It is not a weakly prime, because it can be changed into another prime (73349694437) 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, 36674847168 + 36674847169.

It is an arithmetic number, because the mean of its divisors is an integer number (36674847169).

Almost surely, 2^73349694337 is an apocalyptic number.

It is an amenable number.

73349694337 is a deficient number, since it is larger than the sum of its proper divisors (1).

73349694337 is an equidigital number, since it uses as much as digits as its factorization.

73349694337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30862944, while the sum is 58.

The spelling of 73349694337 in words is "seventy-three billion, three hundred forty-nine million, six hundred ninety-four thousand, three hundred thirty-seven".