382848311201 has 2 divisors, whose sum is σ = 382848311202. Its totient is φ = 382848311200.

The previous prime is 382848311189. The next prime is 382848311243. The reversal of 382848311201 is 102113848283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 359189256976 + 23659054225 = 599324^2 + 153815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-382848311201 is a prime.

It is not a weakly prime, because it can be changed into another prime (382848311281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191424155600 + 191424155601.

It is an arithmetic number, because the mean of its divisors is an integer number (191424155601).

Almost surely, 2^382848311201 is an apocalyptic number.

It is an amenable number.

382848311201 is a deficient number, since it is larger than the sum of its proper divisors (1).

382848311201 is an equidigital number, since it uses as much as digits as its factorization.

382848311201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 382848311201 in words is "three hundred eighty-two billion, eight hundred forty-eight million, three hundred eleven thousand, two hundred one".