13982406276337 has 2 divisors, whose sum is σ = 13982406276338. Its totient is φ = 13982406276336.

The previous prime is 13982406276329. The next prime is 13982406276367. The reversal of 13982406276337 is 73367260428931.

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., 12564125357281 + 1418280919056 = 3544591^2 + 1190916^2 .

It is a cyclic number.

It is not a de Polignac number, because 13982406276337 - 2³ = 13982406276329 is a prime.

It is a super-2 number, since 2×13982406276337² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13982406276317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6991203138168 + 6991203138169.

It is an arithmetic number, because the mean of its divisors is an integer number (6991203138169).

Almost surely, 2^{13982406276337} is an apocalyptic number.

It is an amenable number.

13982406276337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13982406276337 is an equidigital number, since it uses as much as digits as its factorization.

13982406276337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54867456, while the sum is 61.

The spelling of 13982406276337 in words is "thirteen trillion, nine hundred eighty-two billion, four hundred six million, two hundred seventy-six thousand, three hundred thirty-seven".