852337014841 has 27 divisors (see below), whose sum is σ = 943624252623. Its totient is φ = 769523167920.

The previous prime is 852337014829. The next prime is 852337014877. The reversal of 852337014841 is 148410733258.

The square root of 852337014841 is 923221.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 126085357225 + 726251657616 = 355085^2 + 852204^2 .

It is not a de Polignac number, because 852337014841 - 2²⁷ = 852202797113 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 852337014791 and 852337014800.

It is not an unprimeable number, because it can be changed into a prime (852337014821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 564087276 + ... + 564088786.

Almost surely, 2^852337014841 is an apocalyptic number.

852337014841 is the 923221-st square number.

852337014841 is the 461611-st centered octagonal number.

It is an amenable number.

852337014841 is a deficient number, since it is larger than the sum of its proper divisors (91287237782).

852337014841 is an frugal number, since it uses more digits than its factorization.

852337014841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 852337014841 in words is "eight hundred fifty-two billion, three hundred thirty-seven million, fourteen thousand, eight hundred forty-one".