21214036533105 has 48 divisors (see below), whose sum is σ = 39629974050576. Its totient is φ = 10435805452800.

The previous prime is 21214036533097. The next prime is 21214036533139. The reversal of 21214036533105 is 50133563041212.

21214036533105 is a `hidden beast` number, since 2 + 1 + 2 + 14 + 0 + 3 + 6 + 533 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1516976502336 + 19697060030769 = 1231656^2 + 4438137^2 .

It is not a de Polignac number, because 21214036533105 - 2³ = 21214036533097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21214036533105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13175622 + ... + 14697791.

It is an arithmetic number, because the mean of its divisors is an integer number (825624459387).

Almost surely, 2^{21214036533105} is an apocalyptic number.

It is an amenable number.

21214036533105 is a deficient number, since it is larger than the sum of its proper divisors (18415937517471).

21214036533105 is a wasteful number, since it uses less digits than its factorization.

21214036533105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27874738 (or 27874735 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 21214036533105 its reverse (50133563041212), we get a palindrome (71347599574317).

The spelling of 21214036533105 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, five hundred thirty-three thousand, one hundred five".