21488129109841 has 27 divisors (see below), whose sum is σ = 22346614152891. Its totient is φ = 20662295711904.

The previous prime is 21488129109829. The next prime is 21488129109911. The reversal of 21488129109841 is 14890192188412.

The square root of 21488129109841 is 4635529.

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

It can be written as a sum of positive squares in only one way, i.e., 21010039836241 + 478089273600 = 4583671^2 + 691440^2 .

It is not a de Polignac number, because 21488129109841 - 2⁵ = 21488129109809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21488129179841) 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, 13354958245 + ... + 13354959853.

It is an arithmetic number, because the mean of its divisors is an integer number (827652376033).

Almost surely, 2^{21488129109841} is an apocalyptic number.

21488129109841 is the 4635529-th square number.

21488129109841 is the 2317765-th centered octagonal number.

It is an amenable number.

21488129109841 is a deficient number, since it is larger than the sum of its proper divisors (858485043050).

21488129109841 is an frugal number, since it uses more digits than its factorization.

21488129109841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 58.

The spelling of 21488129109841 in words is "twenty-one trillion, four hundred eighty-eight billion, one hundred twenty-nine million, one hundred nine thousand, eight hundred forty-one".