9749413627201 has 2 divisors, whose sum is σ = 9749413627202. Its totient is φ = 9749413627200.

The previous prime is 9749413627169. The next prime is 9749413627231. The reversal of 9749413627201 is 1027263149479.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6866752961601 + 2882660665600 = 2620449^2 + 1697840^2 .

It is a cyclic number.

It is not a de Polignac number, because 9749413627201 - 2⁵ = 9749413627169 is a prime.

It is not a weakly prime, because it can be changed into another prime (9749413627231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4874706813600 + 4874706813601.

It is an arithmetic number, because the mean of its divisors is an integer number (4874706813601).

Almost surely, 2^{9749413627201} is an apocalyptic number.

It is an amenable number.

9749413627201 is a deficient number, since it is larger than the sum of its proper divisors (1).

9749413627201 is an equidigital number, since it uses as much as digits as its factorization.

9749413627201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 9749413627201 in words is "nine trillion, seven hundred forty-nine billion, four hundred thirteen million, six hundred twenty-seven thousand, two hundred one".