9738824662681 has 27 divisors (see below), whose sum is σ = 10241270868927. Its totient is φ = 9260267058240.

The previous prime is 9738824662667. The next prime is 9738824662717. The reversal of 9738824662681 is 1862664288379.

It is a happy number.

The square root of 9738824662681 is 3120709.

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., 7324281608281 + 2414543054400 = 2706341^2 + 1553880^2 .

It is not a de Polignac number, because 9738824662681 - 2⁹ = 9738824662169 is a prime.

It is a super-2 number, since 2×9738824662681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9738824662681.

It is not an unprimeable number, because it can be changed into a prime (9738824662181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17298089706 + ... + 17298090268.

Almost surely, 2^{9738824662681} is an apocalyptic number.

9738824662681 is the 3120709-th square number.

9738824662681 is the 1560355-th centered octagonal number.

It is an amenable number.

9738824662681 is a deficient number, since it is larger than the sum of its proper divisors (502446206246).

9738824662681 is an frugal number, since it uses more digits than its factorization.

9738824662681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 827 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 70.

The spelling of 9738824662681 in words is "nine trillion, seven hundred thirty-eight billion, eight hundred twenty-four million, six hundred sixty-two thousand, six hundred eighty-one".