9829886620225 has 135 divisors (see below), whose sum is σ = 14511097819491. Its totient is φ = 6605125480800.

The previous prime is 9829886620171. The next prime is 9829886620303. The reversal of 9829886620225 is 5220266889289.

The square root of 9829886620225 is 3135265.

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., 3538759183281 + 6291127436944 = 1881159^2 + 2508212^2 .

It is not a de Polignac number, because 9829886620225 - 2¹³ = 9829886612033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 51465374880 + ... + 51465375070.

Almost surely, 2^{9829886620225} is an apocalyptic number.

9829886620225 is the 3135265-th square number.

9829886620225 is the 1567633-rd centered octagonal number.

It is an amenable number.

9829886620225 is a deficient number, since it is larger than the sum of its proper divisors (4681211199266).

9829886620225 is an frugal number, since it uses more digits than its factorization.

9829886620225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 67.

The spelling of 9829886620225 in words is "nine trillion, eight hundred twenty-nine billion, eight hundred eighty-six million, six hundred twenty thousand, two hundred twenty-five".