34244104662137 has 2 divisors, whose sum is σ = 34244104662138. Its totient is φ = 34244104662136.

The previous prime is 34244104662077. The next prime is 34244104662151. The reversal of 34244104662137 is 73126640144243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33278407337536 + 965697324601 = 5768744^2 + 982699^2 .

It is a cyclic number.

It is not a de Polignac number, because 34244104662137 - 2¹⁶ = 34244104596601 is a prime.

It is a super-2 number, since 2×34244104662137² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34244104662091 and 34244104662100.

It is not a weakly prime, because it can be changed into another prime (34244104662167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17122052331068 + 17122052331069.

It is an arithmetic number, because the mean of its divisors is an integer number (17122052331069).

Almost surely, 2^{34244104662137} is an apocalyptic number.

It is an amenable number.

34244104662137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34244104662137 is an equidigital number, since it uses as much as digits as its factorization.

34244104662137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2322432, while the sum is 47.

The spelling of 34244104662137 in words is "thirty-four trillion, two hundred forty-four billion, one hundred four million, six hundred sixty-two thousand, one hundred thirty-seven".