9964950606361 has 27 divisors (see below), whose sum is σ = 10205750582173. Its totient is φ = 9729802557440.

The previous prime is 9964950606337. The next prime is 9964950606389. The reversal of 9964950606361 is 1636060594699.

The square root of 9964950606361 is 3156731.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8232199610761 + 1732750995600 = 2869181^2 + 1316340^2 .

It is not a de Polignac number, because 9964950606361 - 2⁹ = 9964950605849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9964950606293 and 9964950606302.

It is not an unprimeable number, because it can be changed into a prime (9964950606661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38774126745 + ... + 38774127001.

Almost surely, 2^{9964950606361} is an apocalyptic number.

9964950606361 is the 3156731-st square number.

9964950606361 is the 1578366-th centered octagonal number.

It is an amenable number.

9964950606361 is a deficient number, since it is larger than the sum of its proper divisors (240799975812).

9964950606361 is an frugal number, since it uses more digits than its factorization.

9964950606361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 64.

Multiplying 9964950606361 by its sum of digits (64), we get a square (637756838807104 = 25253848²).

The spelling of 9964950606361 in words is "nine trillion, nine hundred sixty-four billion, nine hundred fifty million, six hundred six thousand, three hundred sixty-one".