849827565728948 has 24 divisors (see below), whose sum is σ = 1505783959865640. Its totient is φ = 419625207363200.

The previous prime is 849827565728929. The next prime is 849827565728957.

849827565728948 is nontrivially palindromic in base 10.

849827565728948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 143818665123364 + 706008900605584 = 11992442^2 + 26570828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2703613511 + ... + 2703927822.

It is an arithmetic number, because the mean of its divisors is an integer number (62740998327735).

Almost surely, 2^{849827565728948} is an apocalyptic number.

It is an amenable number.

849827565728948 is a deficient number, since it is larger than the sum of its proper divisors (655956394136692).

849827565728948 is a wasteful number, since it uses less digits than its factorization.

849827565728948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407541827 (or 5407541825 counting only the distinct ones).

The product of its digits is 156067430400, while the sum is 92.

The spelling of 849827565728948 in words is "eight hundred forty-nine trillion, eight hundred twenty-seven billion, five hundred sixty-five million, seven hundred twenty-eight thousand, nine hundred forty-eight".