21729048844767 has 8 divisors (see below), whose sum is σ = 31605889228800. Its totient is φ = 13169120511960.

The previous prime is 21729048844751. The next prime is 21729048844771. The reversal of 21729048844767 is 76744884092712.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21729048844767 - 2⁴ = 21729048844751 is a prime.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21729048854767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329228012767 + ... + 329228012832.

It is an arithmetic number, because the mean of its divisors is an integer number (3950736153600).

Almost surely, 2^{21729048844767} is an apocalyptic number.

21729048844767 is a deficient number, since it is larger than the sum of its proper divisors (9876840384033).

21729048844767 is a wasteful number, since it uses less digits than its factorization.

21729048844767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658456025613.

The product of its (nonzero) digits is 303464448, while the sum is 69.

The spelling of 21729048844767 in words is "twenty-one trillion, seven hundred twenty-nine billion, forty-eight million, eight hundred forty-four thousand, seven hundred sixty-seven".