9629111692561 has 27 divisors (see below), whose sum is σ = 9950313794043. Its totient is φ = 9318179873280.

The previous prime is 9629111692549. The next prime is 9629111692573. The reversal of 9629111692561 is 1652961119269.

The square root of 9629111692561 is 3103081.

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

It is an interprime number because it is at equal distance from previous prime (9629111692549) and next prime (9629111692573).

It can be written as a sum of positive squares in only one way, i.e., 8691700452561 + 937411240000 = 2948169^2 + 968200^2 .

It is not a de Polignac number, because 9629111692561 - 2²¹ = 9629109595409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9629111692496 and 9629111692505.

It is not an unprimeable number, because it can be changed into a prime (9629111692591) 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 26 ways as a sum of consecutive naturals, for example, 15022014801 + ... + 15022015441.

Almost surely, 2^{9629111692561} is an apocalyptic number.

9629111692561 is the 3103081-st square number.

9629111692561 is the 1551541-st centered octagonal number.

It is an amenable number.

9629111692561 is a deficient number, since it is larger than the sum of its proper divisors (321202101482).

9629111692561 is an frugal number, since it uses more digits than its factorization.

9629111692561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 791 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 58.

The spelling of 9629111692561 in words is "nine trillion, six hundred twenty-nine billion, one hundred eleven million, six hundred ninety-two thousand, five hundred sixty-one".