901778417766241 has 2 divisors, whose sum is σ = 901778417766242. Its totient is φ = 901778417766240.

The previous prime is 901778417766223. The next prime is 901778417766269. The reversal of 901778417766241 is 142667714877109.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 710783806559841 + 190994611206400 = 26660529^2 + 13820080^2 .

It is an emirp because it is prime and its reverse (142667714877109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 901778417766241 - 2¹¹ = 901778417764193 is a prime.

It is not a weakly prime, because it can be changed into another prime (901778417766221) 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, 450889208883120 + 450889208883121.

It is an arithmetic number, because the mean of its divisors is an integer number (450889208883121).

Almost surely, 2^{901778417766241} is an apocalyptic number.

It is an amenable number.

901778417766241 is a deficient number, since it is larger than the sum of its proper divisors (1).

901778417766241 is an equidigital number, since it uses as much as digits as its factorization.

901778417766241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 199148544, while the sum is 70.

The spelling of 901778417766241 in words is "nine hundred one trillion, seven hundred seventy-eight billion, four hundred seventeen million, seven hundred sixty-six thousand, two hundred forty-one".