27946825304417 has 2 divisors, whose sum is σ = 27946825304418. Its totient is φ = 27946825304416.

The previous prime is 27946825304407. The next prime is 27946825304459. The reversal of 27946825304417 is 71440352864972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21967631537296 + 5979193767121 = 4686964^2 + 2445239^2 .

It is a cyclic number.

It is not a de Polignac number, because 27946825304417 - 2²² = 27946821110113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27946825304417.

It is not a weakly prime, because it can be changed into another prime (27946825304407) 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, 13973412652208 + 13973412652209.

It is an arithmetic number, because the mean of its divisors is an integer number (13973412652209).

It is a 1-persistent number, because it is pandigital, but 2⋅27946825304417 = 55893650608834 is not.

Almost surely, 2^{27946825304417} is an apocalyptic number.

It is an amenable number.

27946825304417 is a deficient number, since it is larger than the sum of its proper divisors (1).

27946825304417 is an equidigital number, since it uses as much as digits as its factorization.

27946825304417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 27946825304417 in words is "twenty-seven trillion, nine hundred forty-six billion, eight hundred twenty-five million, three hundred four thousand, four hundred seventeen".