21314142105642 has 24 divisors (see below), whose sum is σ = 46204335836100. Its totient is φ = 7101068711040.

The previous prime is 21314142105623. The next prime is 21314142105643. The reversal of 21314142105642 is 24650124141312.

21314142105642 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 4 + 1 + 4 + 2 + 1 + 0 + 5 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21230152849161 + 83989256481 = 4607619^2 + 289809^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21314142105597 and 21314142105606.

It is not an unprimeable number, because it can be changed into a prime (21314142105643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303740959 + ... + 303811122.

Almost surely, 2^{21314142105642} is an apocalyptic number.

21314142105642 is an abundant number, since it is smaller than the sum of its proper divisors (24890193730458).

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

21314142105642 is a wasteful number, since it uses less digits than its factorization.

21314142105642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607554038 (or 607554035 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 21314142105642 its reverse (24650124141312), we get a palindrome (45964266246954).

The spelling of 21314142105642 in words is "twenty-one trillion, three hundred fourteen billion, one hundred forty-two million, one hundred five thousand, six hundred forty-two".