127284119361 has 75 divisors (see below), whose sum is σ = 222091881011. Its totient is φ = 72643876704.

The previous prime is 127284119353. The next prime is 127284119377. The reversal of 127284119361 is 163911482721.

The square root of 127284119361 is 356769.

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

127284119361 is a `hidden beast` number, since 1 + 2 + 7 + 284 + 1 + 1 + 9 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112036808961 + 15247310400 = 334719^2 + 123480^2 .

It is not a de Polignac number, because 127284119361 - 2³ = 127284119353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127284119311) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 157334725 + ... + 157335533.

Almost surely, 2^127284119361 is an apocalyptic number.

127284119361 is the 356769-th square number.

127284119361 is the 178385-th centered octagonal number.

It is an amenable number.

127284119361 is a deficient number, since it is larger than the sum of its proper divisors (94807761650).

127284119361 is an frugal number, since it uses more digits than its factorization.

127284119361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 819 counting only the distinct ones).

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

The spelling of 127284119361 in words is "one hundred twenty-seven billion, two hundred eighty-four million, one hundred nineteen thousand, three hundred sixty-one".