127356910641 has 27 divisors (see below), whose sum is σ = 188031593113. Its totient is φ = 83065293960.

The previous prime is 127356910601. The next prime is 127356910663. The reversal of 127356910641 is 146019653721.

The square root of 127356910641 is 356871.

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

127356910641 is a `hidden beast` number, since 1 + 2 + 73 + 569 + 10 + 6 + 4 + 1 = 666.

It is not a de Polignac number, because 127356910641 - 2¹⁷ = 127356779569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127356910601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50317546 + ... + 50320076.

Almost surely, 2^127356910641 is an apocalyptic number.

127356910641 is the 356871-st square number.

127356910641 is the 178436-th centered octagonal number.

It is an amenable number.

127356910641 is a deficient number, since it is larger than the sum of its proper divisors (60674682472).

127356910641 is an frugal number, since it uses more digits than its factorization.

127356910641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 127356910641 in words is "one hundred twenty-seven billion, three hundred fifty-six million, nine hundred ten thousand, six hundred forty-one".