127296963369 has 45 divisors (see below), whose sum is σ = 197087177287. Its totient is φ = 81878335056.

The previous prime is 127296963349. The next prime is 127296963383. The reversal of 127296963369 is 963369692721.

The square root of 127296963369 is 356787.

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

127296963369 is a `hidden beast` number, since 1 + 2 + 7 + 296 + 9 + 6 + 336 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66751439769 + 60545523600 = 258363^2 + 246060^2 .

It is not a de Polignac number, because 127296963369 - 2²³ = 127288574761 is a prime.

It is a super-2 number, since 2×127296963369² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127296963329) 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, 93120724 + ... + 93122090.

Almost surely, 2^127296963369 is an apocalyptic number.

127296963369 is the 356787-th square number.

127296963369 is the 178394-th centered octagonal number.

It is an amenable number.

127296963369 is a deficient number, since it is larger than the sum of its proper divisors (69790213918).

127296963369 is an frugal number, since it uses more digits than its factorization.

127296963369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 1399 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 63.

The spelling of 127296963369 in words is "one hundred twenty-seven billion, two hundred ninety-six million, nine hundred sixty-three thousand, three hundred sixty-nine".