170852435649 has 63 divisors (see below), whose sum is σ = 298120066257. Its totient is φ = 97629963228.

The previous prime is 170852435639. The next prime is 170852435701. The reversal of 170852435649 is 946534258071.

It is a happy number.

The square root of 170852435649 is 413343.

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

170852435649 is a `hidden beast` number, since 1 + 70 + 8 + 5 + 2 + 4 + 3 + 564 + 9 = 666.

170852435649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 170852435649 - 2⁹ = 170852435137 is a prime.

It is a super-3 number, since 3×170852435649³ (a number of 35 digits) contains 333 as substring.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 170852435595 and 170852435604.

It is not an unprimeable number, because it can be changed into a prime (170852435639) 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 in 62 ways as a sum of consecutive naturals, for example, 24407490804 + ... + 24407490810.

It is a 1-persistent number, because it is pandigital, but 2⋅170852435649 = 341704871298 is not.

Almost surely, 2^170852435649 is an apocalyptic number.

170852435649 is the 413343-rd square number.

170852435649 is the 206672-nd centered octagonal number.

It is an amenable number.

170852435649 is a deficient number, since it is larger than the sum of its proper divisors (127267630608).

170852435649 is an frugal number, since it uses more digits than its factorization.

170852435649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 170852435649 in words is "one hundred seventy billion, eight hundred fifty-two million, four hundred thirty-five thousand, six hundred forty-nine".