238127408289 has 81 divisors (see below), whose sum is σ = 365951128179. Its totient is φ = 149205682080.

The previous prime is 238127408249. The next prime is 238127408297. The reversal of 238127408289 is 982804721832.

The square root of 238127408289 is 487983.

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

238127408289 is a `hidden beast` number, since 2 + 38 + 127 + 408 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124868236689 + 113259171600 = 353367^2 + 336540^2 .

It is not a de Polignac number, because 238127408289 - 2²³ = 238119019681 is a prime.

It is a super-2 number, since 2×238127408289² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (238127408209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3014270952 + ... + 3014271030.

Almost surely, 2^238127408289 is an apocalyptic number.

238127408289 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

238127408289 is the 487983-rd square number.

238127408289 is the 243992-nd centered octagonal number.

It is an amenable number.

238127408289 is a deficient number, since it is larger than the sum of its proper divisors (127823719890).

238127408289 is an frugal number, since it uses more digits than its factorization.

238127408289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

It can be divided in two parts, 238127 and 408289, that added together give a square (646416 = 804²).

The spelling of 238127408289 in words is "two hundred thirty-eight billion, one hundred twenty-seven million, four hundred eight thousand, two hundred eighty-nine".