742778895049601 has 2 divisors, whose sum is σ = 742778895049602. Its totient is φ = 742778895049600.

The previous prime is 742778895049567. The next prime is 742778895049603. The reversal of 742778895049601 is 106940598877247.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 733293850201201 + 9485044848400 = 27079399^2 + 3079780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-742778895049601 is a prime.

It is a super-2 number, since 2×742778895049601² (a number of 31 digits) contains 22 as substring.

Together with 742778895049603, 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 (742778895049603) 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, 371389447524800 + 371389447524801.

It is an arithmetic number, because the mean of its divisors is an integer number (371389447524801).

Almost surely, 2^{742778895049601} is an apocalyptic number.

It is an amenable number.

742778895049601 is a deficient number, since it is larger than the sum of its proper divisors (1).

742778895049601 is an equidigital number, since it uses as much as digits as its factorization.

742778895049601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1706987520, while the sum is 77.

The spelling of 742778895049601 in words is "seven hundred forty-two trillion, seven hundred seventy-eight billion, eight hundred ninety-five million, forty-nine thousand, six hundred one".