337155736121681 has 2 divisors, whose sum is σ = 337155736121682. Its totient is φ = 337155736121680.

The previous prime is 337155736121651. The next prime is 337155736121741. The reversal of 337155736121681 is 186121637551733.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 335973906227281 + 1181829894400 = 18329591^2 + 1087120^2 .

It is a cyclic number.

It is not a de Polignac number, because 337155736121681 - 2²⁶ = 337155669012817 is a prime.

It is a super-3 number, since 3×337155736121681³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 337155736121681.

It is not a weakly prime, because it can be changed into another prime (337155736121651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168577868060840 + 168577868060841.

It is an arithmetic number, because the mean of its divisors is an integer number (168577868060841).

Almost surely, 2^{337155736121681} is an apocalyptic number.

It is an amenable number.

337155736121681 is a deficient number, since it is larger than the sum of its proper divisors (1).

337155736121681 is an equidigital number, since it uses as much as digits as its factorization.

337155736121681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19051200, while the sum is 59.

The spelling of 337155736121681 in words is "three hundred thirty-seven trillion, one hundred fifty-five billion, seven hundred thirty-six million, one hundred twenty-one thousand, six hundred eighty-one".