849347401601 has 2 divisors, whose sum is σ = 849347401602. Its totient is φ = 849347401600.

The previous prime is 849347401547. The next prime is 849347401621. The reversal of 849347401601 is 106104743948.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 533951718400 + 315395683201 = 730720^2 + 561601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-849347401601 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (849347401621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 424673700800 + 424673700801.

It is an arithmetic number, because the mean of its divisors is an integer number (424673700801).

Almost surely, 2^849347401601 is an apocalyptic number.

It is an amenable number.

849347401601 is a deficient number, since it is larger than the sum of its proper divisors (1).

849347401601 is an equidigital number, since it uses as much as digits as its factorization.

849347401601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 849347401601 in words is "eight hundred forty-nine billion, three hundred forty-seven million, four hundred one thousand, six hundred one".