6823919105311 has 16 divisors (see below), whose sum is σ = 8507822899968. Its totient is φ = 5317289812800.

The previous prime is 6823919105303. The next prime is 6823919105317. The reversal of 6823919105311 is 1135019193286.

It is a happy number.

6823919105311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6823919105311 - 2³ = 6823919105303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823919105317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9353596 + ... + 10056718.

It is an arithmetic number, because the mean of its divisors is an integer number (531738931248).

Almost surely, 2^{6823919105311} is an apocalyptic number.

6823919105311 is a deficient number, since it is larger than the sum of its proper divisors (1683903794657).

6823919105311 is a wasteful number, since it uses less digits than its factorization.

6823919105311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829182.

The product of its (nonzero) digits is 349920, while the sum is 49.

The spelling of 6823919105311 in words is "six trillion, eight hundred twenty-three billion, nine hundred nineteen million, one hundred five thousand, three hundred eleven".