9853505148329 has 2 divisors, whose sum is σ = 9853505148330. Its totient is φ = 9853505148328.

The previous prime is 9853505148241. The next prime is 9853505148457. The reversal of 9853505148329 is 9238415053589.

It is a happy number.

9853505148329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5730278440000 + 4123226708329 = 2393800^2 + 2030573^2 .

It is a cyclic number.

It is not a de Polignac number, because 9853505148329 - 2⁸ = 9853505148073 is a prime.

It is a super-2 number, since 2×9853505148329² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9853505145329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4926752574164 + 4926752574165.

It is an arithmetic number, because the mean of its divisors is an integer number (4926752574165).

Almost surely, 2^{9853505148329} is an apocalyptic number.

It is an amenable number.

9853505148329 is a deficient number, since it is larger than the sum of its proper divisors (1).

9853505148329 is an equidigital number, since it uses as much as digits as its factorization.

9853505148329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656000, while the sum is 62.

The spelling of 9853505148329 in words is "nine trillion, eight hundred fifty-three billion, five hundred five million, one hundred forty-eight thousand, three hundred twenty-nine".