14677333747201 has 2 divisors, whose sum is σ = 14677333747202. Its totient is φ = 14677333747200.

The previous prime is 14677333747199. The next prime is 14677333747243. The reversal of 14677333747201 is 10274733377641.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9043997640976 + 5633336106225 = 3007324^2 + 2373465^2 .

It is a cyclic number.

It is not a de Polignac number, because 14677333747201 - 2¹ = 14677333747199 is a prime.

Together with 14677333747199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (14677333747261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7338666873600 + 7338666873601.

It is an arithmetic number, because the mean of its divisors is an integer number (7338666873601).

Almost surely, 2^{14677333747201} is an apocalyptic number.

It is an amenable number.

14677333747201 is a deficient number, since it is larger than the sum of its proper divisors (1).

14677333747201 is an equidigital number, since it uses as much as digits as its factorization.

14677333747201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12446784, while the sum is 55.

The spelling of 14677333747201 in words is "fourteen trillion, six hundred seventy-seven billion, three hundred thirty-three million, seven hundred forty-seven thousand, two hundred one".