9917038651689 has 27 divisors (see below), whose sum is σ = 15511457682903. Its totient is φ = 6102717437232.

The previous prime is 9917038651591. The next prime is 9917038651703. The reversal of 9917038651689 is 9861568307199.

The square root of 9917038651689 is 3149133.

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

9917038651689 is a `hidden beast` number, since 9 + 9 + 1 + 70 + 38 + 6 + 516 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1467017552025 + 8450021099664 = 1211205^2 + 2906892^2 .

It is not a de Polignac number, because 9917038651689 - 2¹³ = 9917038643497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9917038671689) 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, 122775814 + ... + 122856560.

Almost surely, 2^{9917038651689} is an apocalyptic number.

9917038651689 is the 3149133-rd square number.

9917038651689 is the 1574567-th centered octagonal number.

It is an amenable number.

9917038651689 is a deficient number, since it is larger than the sum of its proper divisors (5594419031214).

9917038651689 is an frugal number, since it uses more digits than its factorization.

9917038651689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161526 (or 80763 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 9917038651689 in words is "nine trillion, nine hundred seventeen billion, thirty-eight million, six hundred fifty-one thousand, six hundred eighty-nine".