8123736947089 has 9 divisors (see below), whose sum is σ = 8169887581513. Its totient is φ = 8077845603172.

The previous prime is 8123736947041. The next prime is 8123736947093. The reversal of 8123736947089 is 9807496373218.

The square root of 8123736947089 is 2850217.

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

It is not a de Polignac number, because 8123736947089 - 2¹¹ = 8123736945041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8123736987089) 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 8 ways as a sum of consecutive naturals, for example, 510180882 + ... + 510196804.

Almost surely, 2^{8123736947089} is an apocalyptic number.

8123736947089 is the 2850217-th square number.

8123736947089 is the 1425109-th centered octagonal number.

It is an amenable number.

8123736947089 is a deficient number, since it is larger than the sum of its proper divisors (46150634424).

8123736947089 is an frugal number, since it uses more digits than its factorization.

8123736947089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32204 (or 16102 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 67.

The spelling of 8123736947089 in words is "eight trillion, one hundred twenty-three billion, seven hundred thirty-six million, nine hundred forty-seven thousand, eighty-nine".