84400127289 has 27 divisors (see below), whose sum is σ = 122823197679. Its totient is φ = 55848988080.

The previous prime is 84400127257. The next prime is 84400127291. The reversal of 84400127289 is 98272100448.

The square root of 84400127289 is 290517.

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

84400127289 is a `hidden beast` number, since 8 + 440 + 0 + 127 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33531835689 + 50868291600 = 183117^2 + 225540^2 .

It is not a de Polignac number, because 84400127289 - 2⁵ = 84400127257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84400127299) 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, 156007359 + ... + 156007899.

Almost surely, 2^84400127289 is an apocalyptic number.

84400127289 is the 290517-th square number.

84400127289 is the 145259-th centered octagonal number.

It is an amenable number.

84400127289 is a deficient number, since it is larger than the sum of its proper divisors (38423070390).

84400127289 is an frugal number, since it uses more digits than its factorization.

84400127289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 84400127289 in words is "eighty-four billion, four hundred million, one hundred twenty-seven thousand, two hundred eighty-nine".