21824098827129 has 27 divisors (see below), whose sum is σ = 31670229424197. Its totient is φ = 14482081073016.

The previous prime is 21824098827121. The next prime is 21824098827197. The reversal of 21824098827129 is 92172889042812.

The square root of 21824098827129 is 4671627.

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

21824098827129 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 409 + 88 + 27 + 129 = 666.

It is not a de Polignac number, because 21824098827129 - 2³ = 21824098827121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21824098827121) 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, 3125314972 + ... + 3125321954.

Almost surely, 2^{21824098827129} is an apocalyptic number.

21824098827129 is the 4671627-th square number.

21824098827129 is the 2335814-th centered octagonal number.

It is an amenable number.

21824098827129 is a deficient number, since it is larger than the sum of its proper divisors (9846130597068).

21824098827129 is an frugal number, since it uses more digits than its factorization.

21824098827129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14418 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 21824098827129 in words is "twenty-one trillion, eight hundred twenty-four billion, ninety-eight million, eight hundred twenty-seven thousand, one hundred twenty-nine".