338604116561 has 2 divisors, whose sum is σ = 338604116562. Its totient is φ = 338604116560.

The previous prime is 338604116531. The next prime is 338604116563. The reversal of 338604116561 is 165611406833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314335150336 + 24268966225 = 560656^2 + 155785^2 .

It is a cyclic number.

It is not a de Polignac number, because 338604116561 - 2¹⁰ = 338604115537 is a prime.

It is a super-3 number, since 3×338604116561³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 338604116563, 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 (338604116563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169302058280 + 169302058281.

It is an arithmetic number, because the mean of its divisors is an integer number (169302058281).

Almost surely, 2^338604116561 is an apocalyptic number.

It is an amenable number.

338604116561 is a deficient number, since it is larger than the sum of its proper divisors (1).

338604116561 is an equidigital number, since it uses as much as digits as its factorization.

338604116561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 338604116561 in words is "three hundred thirty-eight billion, six hundred four million, one hundred sixteen thousand, five hundred sixty-one".