9949766205625 has 15 divisors (see below), whose sum is σ = 12433326392443. Its totient is φ = 7959749878000.

The previous prime is 9949766205623. The next prime is 9949766205653. The reversal of 9949766205625 is 5265026679499.

The square root of 9949766205625 is 3154325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9637280733609 + 312485472016 = 3104397^2 + 559004^2 .

It is not a de Polignac number, because 9949766205625 - 2¹ = 9949766205623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9949766205623) 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 14 ways as a sum of consecutive naturals, for example, 78795039 + ... + 78921211.

Almost surely, 2^{9949766205625} is an apocalyptic number.

9949766205625 is the 3154325-th square number.

9949766205625 is the 1577163-rd centered octagonal number.

It is an amenable number.

9949766205625 is a deficient number, since it is larger than the sum of its proper divisors (2483560186818).

9949766205625 is an frugal number, since it uses more digits than its factorization.

9949766205625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252366 (or 126178 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 70.

The spelling of 9949766205625 in words is "nine trillion, nine hundred forty-nine billion, seven hundred sixty-six million, two hundred five thousand, six hundred twenty-five".