127436034605049 has 27 divisors (see below), whose sum is σ = 184268926609807. Its totient is φ = 84867610785216.

The previous prime is 127436034605041. The next prime is 127436034605071. The reversal of 127436034605049 is 940506430634721.

The square root of 127436034605049 is 11288757.

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

127436034605049 is a `hidden beast` number, since 1 + 2 + 7 + 43 + 6 + 0 + 34 + 60 + 504 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12946719404025 + 114489315201024 = 3598155^2 + 10699968^2 .

It is not a de Polignac number, because 127436034605049 - 2³ = 127436034605041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127436034604986 and 127436034605004.

It is not an unprimeable number, because it can be changed into a prime (127436034605041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52594317652 + ... + 52594320074.

Almost surely, 2^{127436034605049} is an apocalyptic number.

127436034605049 is the 11288757-th square number.

127436034605049 is the 5644379-th centered octagonal number.

It is an amenable number.

127436034605049 is a deficient number, since it is larger than the sum of its proper divisors (56832892004758).

127436034605049 is an frugal number, since it uses more digits than its factorization.

127436034605049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7958 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 127436034605049 in words is "one hundred twenty-seven trillion, four hundred thirty-six billion, thirty-four million, six hundred five thousand, forty-nine".