9908638544401 has 9 divisors (see below), whose sum is σ = 9985269950203. Its totient is φ = 9832590868360.

The previous prime is 9908638544359. The next prime is 9908638544471. The reversal of 9908638544401 is 1044458368099.

It is a happy number.

The square root of 9908638544401 is 3147799.

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., 9902041856001 + 6596688400 = 3146751^2 + 81220^2 .

It is not a de Polignac number, because 9908638544401 - 2²⁷ = 9908504326673 is a prime.

It is a super-2 number, since 2×9908638544401² (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 9908638544401.

It is not an unprimeable number, because it can be changed into a prime (9908638544471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 412349655 + ... + 412373683.

Almost surely, 2^{9908638544401} is an apocalyptic number.

9908638544401 is the 3147799-th square number.

9908638544401 is the 1573900-th centered octagonal number.

It is an amenable number.

9908638544401 is a deficient number, since it is larger than the sum of its proper divisors (76631405802).

9908638544401 is an frugal number, since it uses more digits than its factorization.

9908638544401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48320 (or 24160 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 9908638544401 in words is "nine trillion, nine hundred eight billion, six hundred thirty-eight million, five hundred forty-four thousand, four hundred one".