21314142105606 has 128 divisors (see below), whose sum is σ = 54897516011520. Its totient is φ = 6003551584800.

The previous prime is 21314142105589. The next prime is 21314142105623. The reversal of 21314142105606 is 60650124141312.

21314142105606 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 4 + 1 + 42 + 1 + 0 + 5 + 606 = 666.

It is an interprime number because it is at equal distance from previous prime (21314142105589) and next prime (21314142105623).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 639452361 + ... + 639485691.

It is an arithmetic number, because the mean of its divisors is an integer number (428886843840).

Almost surely, 2^{21314142105606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21314142105606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27448758005760).

21314142105606 is an abundant number, since it is smaller than the sum of its proper divisors (33583373905914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21314142105606 is a wasteful number, since it uses less digits than its factorization.

21314142105606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57247 (or 57241 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 21314142105606 its reverse (60650124141312), we get a palindrome (81964266246918).

The spelling of 21314142105606 in words is "twenty-one trillion, three hundred fourteen billion, one hundred forty-two million, one hundred five thousand, six hundred six".