20127948129 has 45 divisors (see below), whose sum is σ = 30924950849. Its totient is φ = 12615347160.

The previous prime is 20127948121. The next prime is 20127948149. The reversal of 20127948129 is 92184972102.

The square root of 20127948129 is 141873.

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

20127948129 is a `hidden beast` number, since 20 + 127 + 9 + 481 + 29 = 666.

It is not a de Polignac number, because 20127948129 - 2³ = 20127948121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20127948121) 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, 153648394 + ... + 153648524.

Almost surely, 2^20127948129 is an apocalyptic number.

20127948129 is the 141873-rd square number.

20127948129 is the 70937-th centered octagonal number.

It is an amenable number.

20127948129 is a deficient number, since it is larger than the sum of its proper divisors (10797002720).

20127948129 is an frugal number, since it uses more digits than its factorization.

20127948129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

It can be divided in two parts, 20127 and 948129, that added together give a square (968256 = 984²).

The spelling of 20127948129 in words is "twenty billion, one hundred twenty-seven million, nine hundred forty-eight thousand, one hundred twenty-nine".