127127045653969 has 9 divisors (see below), whose sum is σ = 135045196748827. Its totient is φ = 119648803743904.

The previous prime is 127127045653957. The next prime is 127127045653987. The reversal of 127127045653969 is 969356540721721.

The square root of 127127045653969 is 11275063.

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., 98974343502225 + 28152702151744 = 9948585^2 + 5305912^2 .

It is not a de Polignac number, because 127127045653969 - 2²¹ = 127127043556817 is a prime.

It is a super-2 number, since 2×127127045653969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127127045654969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 191344452 + ... + 192007690.

Almost surely, 2^{127127045653969} is an apocalyptic number.

127127045653969 is the 11275063-rd square number.

127127045653969 is the 5637532-nd centered octagonal number.

It is an amenable number.

127127045653969 is a deficient number, since it is larger than the sum of its proper divisors (7918151094858).

127127045653969 is an frugal number, since it uses more digits than its factorization.

127127045653969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326512 (or 663256 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 67.

The spelling of 127127045653969 in words is "one hundred twenty-seven trillion, one hundred twenty-seven billion, forty-five million, six hundred fifty-three thousand, nine hundred sixty-nine".