29824241142821 has 2 divisors, whose sum is σ = 29824241142822. Its totient is φ = 29824241142820.

The previous prime is 29824241142809. The next prime is 29824241142823. The reversal of 29824241142821 is 12824114242892.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26290630698721 + 3533610444100 = 5127439^2 + 1879790^2 .

It is a cyclic number.

It is not a de Polignac number, because 29824241142821 - 2¹⁴ = 29824241126437 is a prime.

Together with 29824241142823, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 29824241142821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29824241142823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14912120571410 + 14912120571411.

It is an arithmetic number, because the mean of its divisors is an integer number (14912120571411).

Almost surely, 2^{29824241142821} is an apocalyptic number.

It is an amenable number.

29824241142821 is a deficient number, since it is larger than the sum of its proper divisors (1).

29824241142821 is an equidigital number, since it uses as much as digits as its factorization.

29824241142821 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1179648, while the sum is 50.

The spelling of 29824241142821 in words is "twenty-nine trillion, eight hundred twenty-four billion, two hundred forty-one million, one hundred forty-two thousand, eight hundred twenty-one".