8126268136921 has 9 divisors (see below), whose sum is σ = 8932213493749. Its totient is φ = 7387487981500.

The previous prime is 8126268136907. The next prime is 8126268136933. The reversal of 8126268136921 is 1296318626218.

The square root of 8126268136921 is 2850661.

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

It is not a de Polignac number, because 8126268136921 - 2¹³ = 8126268128729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8126268136951) 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, 31227696 + ... + 31486846.

Almost surely, 2^{8126268136921} is an apocalyptic number.

8126268136921 is the 2850661-st square number.

8126268136921 is the 1425331-st centered octagonal number.

It is an amenable number.

8126268136921 is a deficient number, since it is larger than the sum of its proper divisors (805945356828).

8126268136921 is an frugal number, since it uses more digits than its factorization.

8126268136921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518324 (or 259162 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 55.

The spelling of 8126268136921 in words is "eight trillion, one hundred twenty-six billion, two hundred sixty-eight million, one hundred thirty-six thousand, nine hundred twenty-one".