38461435768337 has 2 divisors, whose sum is σ = 38461435768338. Its totient is φ = 38461435768336.

The previous prime is 38461435768303. The next prime is 38461435768339. The reversal of 38461435768337 is 73386753416483.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38223603010576 + 237832757761 = 6182524^2 + 487681^2 .

It is a cyclic number.

It is not a de Polignac number, because 38461435768337 - 2⁸ = 38461435768081 is a prime.

Together with 38461435768339, 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 (38461435768339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19230717884168 + 19230717884169.

It is an arithmetic number, because the mean of its divisors is an integer number (19230717884169).

Almost surely, 2^{38461435768337} is an apocalyptic number.

It is an amenable number.

38461435768337 is a deficient number, since it is larger than the sum of its proper divisors (1).

38461435768337 is an equidigital number, since it uses as much as digits as its factorization.

38461435768337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 731566080, while the sum is 68.

The spelling of 38461435768337 in words is "thirty-eight trillion, four hundred sixty-one billion, four hundred thirty-five million, seven hundred sixty-eight thousand, three hundred thirty-seven".