9971492426289 has 45 divisors (see below), whose sum is σ = 15824211934267. Its totient is φ = 6256319553216.

The previous prime is 9971492426263. The next prime is 9971492426293. The reversal of 9971492426289 is 9826242941799.

The square root of 9971492426289 is 3157767.

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

9971492426289 is a `hidden beast` number, since 9 + 9 + 71 + 492 + 4 + 2 + 62 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7763272650225 + 2208219776064 = 2786265^2 + 1486008^2 .

It is not a de Polignac number, because 9971492426289 - 2⁹ = 9971492425777 is a prime.

It is a super-2 number, since 2×9971492426289² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9971492426989) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 483128032 + ... + 483148670.

Almost surely, 2^{9971492426289} is an apocalyptic number.

9971492426289 is the 3157767-th square number.

9971492426289 is the 1578884-th centered octagonal number.

It is an amenable number.

9971492426289 is a deficient number, since it is larger than the sum of its proper divisors (5852719507978).

9971492426289 is an frugal number, since it uses more digits than its factorization.

9971492426289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41324 (or 20659 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 9971492426289 in words is "nine trillion, nine hundred seventy-one billion, four hundred ninety-two million, four hundred twenty-six thousand, two hundred eighty-nine".