8627607923841 has 9 divisors (see below), whose sum is σ = 12462113062659. Its totient is φ = 5751732741336.

The previous prime is 8627607923801. The next prime is 8627607923861. The reversal of 8627607923841 is 1483297067268.

The square root of 8627607923841 is 2937279.

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., 5431393386225 + 3196214537616 = 2330535^2 + 1787796^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8627607923841 - 2¹⁹ = 8627607399553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8627607923801) 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 8 ways as a sum of consecutive naturals, for example, 8322291 + ... + 9301383.

Almost surely, 2^{8627607923841} is an apocalyptic number.

8627607923841 is the 2937279-th square number.

8627607923841 is the 1468640-th centered octagonal number.

It is an amenable number.

8627607923841 is a deficient number, since it is larger than the sum of its proper divisors (3834505138818).

8627607923841 is an frugal number, since it uses more digits than its factorization.

8627607923841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958192 (or 979096 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 8627607923841 in words is "eight trillion, six hundred twenty-seven billion, six hundred seven million, nine hundred twenty-three thousand, eight hundred forty-one".