7648863106601 has 2 divisors, whose sum is σ = 7648863106602. Its totient is φ = 7648863106600.

The previous prime is 7648863106561. The next prime is 7648863106603. The reversal of 7648863106601 is 1066013688467.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7648122994576 + 740112025 = 2765524^2 + 27205^2 .

It is a cyclic number.

It is not a de Polignac number, because 7648863106601 - 2⁶ = 7648863106537 is a prime.

Together with 7648863106603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7648863106603) 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, 3824431553300 + 3824431553301.

It is an arithmetic number, because the mean of its divisors is an integer number (3824431553301).

Almost surely, 2^{7648863106601} is an apocalyptic number.

It is an amenable number.

7648863106601 is a deficient number, since it is larger than the sum of its proper divisors (1).

7648863106601 is an equidigital number, since it uses as much as digits as its factorization.

7648863106601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 7648863106601 in words is "seven trillion, six hundred forty-eight billion, eight hundred sixty-three million, one hundred six thousand, six hundred one".