9670986652041 has 135 divisors (see below), whose sum is σ = 16664240311095. Its totient is φ = 5402132255520.

The previous prime is 9670986652021. The next prime is 9670986652057. The reversal of 9670986652041 is 1402566890769.

The square root of 9670986652041 is 3109821.

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

9670986652041 is a `hidden beast` number, since 9 + 6 + 7 + 0 + 9 + 8 + 66 + 520 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1430619327225 + 8240367324816 = 1196085^2 + 2870604^2 .

It is not a de Polignac number, because 9670986652041 - 2¹³ = 9670986643849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9670986652041.

It is not an unprimeable number, because it can be changed into a prime (9670986652021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14675244970 + ... + 14675245628.

Almost surely, 2^{9670986652041} is an apocalyptic number.

9670986652041 is the 3109821-st square number.

9670986652041 is the 1554911-st centered octagonal number.

It is an amenable number.

9670986652041 is a deficient number, since it is larger than the sum of its proper divisors (6993253659054).

9670986652041 is an frugal number, since it uses more digits than its factorization.

9670986652041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 9670986652041 in words is "nine trillion, six hundred seventy billion, nine hundred eighty-six million, six hundred fifty-two thousand, forty-one".