13842144691201 has 2 divisors, whose sum is σ = 13842144691202. Its totient is φ = 13842144691200.

The previous prime is 13842144691183. The next prime is 13842144691211. The reversal of 13842144691201 is 10219644124831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11119723890625 + 2722420800576 = 3334625^2 + 1649976^2 .

It is a cyclic number.

It is not a de Polignac number, because 13842144691201 - 2⁵ = 13842144691169 is a prime.

It is not a weakly prime, because it can be changed into another prime (13842144691211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6921072345600 + 6921072345601.

It is an arithmetic number, because the mean of its divisors is an integer number (6921072345601).

Almost surely, 2^{13842144691201} is an apocalyptic number.

It is an amenable number.

13842144691201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13842144691201 is an equidigital number, since it uses as much as digits as its factorization.

13842144691201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 13842144691201 in words is "thirteen trillion, eight hundred forty-two billion, one hundred forty-four million, six hundred ninety-one thousand, two hundred one".