84993357945257 has 2 divisors, whose sum is σ = 84993357945258. Its totient is φ = 84993357945256.

The previous prime is 84993357945239. The next prime is 84993357945311. The reversal of 84993357945257 is 75254975339948.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70722650424976 + 14270707520281 = 8409676^2 + 3777659^2 .

It is a cyclic number.

It is not a de Polignac number, because 84993357945257 - 2¹⁴ = 84993357928873 is a prime.

It is not a weakly prime, because it can be changed into another prime (84993357945557) 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, 42496678972628 + 42496678972629.

It is an arithmetic number, because the mean of its divisors is an integer number (42496678972629).

Almost surely, 2^{84993357945257} is an apocalyptic number.

It is an amenable number.

84993357945257 is a deficient number, since it is larger than the sum of its proper divisors (1).

84993357945257 is an equidigital number, since it uses as much as digits as its factorization.

84993357945257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10287648000, while the sum is 80.

The spelling of 84993357945257 in words is "eighty-four trillion, nine hundred ninety-three billion, three hundred fifty-seven million, nine hundred forty-five thousand, two hundred fifty-seven".