73741007337089 has 2 divisors, whose sum is σ = 73741007337090. Its totient is φ = 73741007337088.

The previous prime is 73741007337029. The next prime is 73741007337091. The reversal of 73741007337089 is 98073370014737.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69700875177025 + 4040132160064 = 8348705^2 + 2010008^2 .

It is a cyclic number.

It is not a de Polignac number, because 73741007337089 - 2²⁰ = 73741006288513 is a prime.

It is a super-2 number, since 2×73741007337089² (a number of 29 digits) contains 22 as substring.

Together with 73741007337091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (73741007337029) 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, 36870503668544 + 36870503668545.

It is an arithmetic number, because the mean of its divisors is an integer number (36870503668545).

Almost surely, 2^{73741007337089} is an apocalyptic number.

It is an amenable number.

73741007337089 is a deficient number, since it is larger than the sum of its proper divisors (1).

73741007337089 is an equidigital number, since it uses as much as digits as its factorization.

73741007337089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18670176, while the sum is 59.

The spelling of 73741007337089 in words is "seventy-three trillion, seven hundred forty-one billion, seven million, three hundred thirty-seven thousand, eighty-nine".