21208484141289 has 81 divisors (see below), whose sum is σ = 33106064324151. Its totient is φ = 13081905650880.

The previous prime is 21208484141281. The next prime is 21208484141297. The reversal of 21208484141289 is 98214148480212.

The square root of 21208484141289 is 4605267.

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

21208484141289 is a `hidden beast` number, since 2 + 1 + 20 + 8 + 484 + 14 + 128 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (21208484141281) and next prime (21208484141297).

It can be written as a sum of positive squares in only one way, i.e., 1565789229225 + 19642694912064 = 1251315^2 + 4432008^2 .

It is not a de Polignac number, because 21208484141289 - 2³ = 21208484141281 is a prime.

It is a super-3 number, since 3×21208484141289³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21208484141281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9850665037 + ... + 9850667189.

Almost surely, 2^{21208484141289} is an apocalyptic number.

21208484141289 is the 4605267-th square number.

21208484141289 is the 2302634-th centered octagonal number.

It is an amenable number.

21208484141289 is a deficient number, since it is larger than the sum of its proper divisors (11897580182862).

21208484141289 is an frugal number, since it uses more digits than its factorization.

21208484141289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 21208484141289 in words is "twenty-one trillion, two hundred eight billion, four hundred eighty-four million, one hundred forty-one thousand, two hundred eighty-nine".