12819033864 has 384 divisors, whose sum is σ = 44976556800. Its totient is φ = 3353011200.

The previous prime is 12819033841. The next prime is 12819033947. The reversal of 12819033864 is 46833091821.

12819033864 is a `hidden beast` number, since 128 + 190 + 338 + 6 + 4 = 666.

12819033864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20776084 + ... + 20776700.

It is an arithmetic number, because the mean of its divisors is an integer number (117126450).

Almost surely, 2^12819033864 is an apocalyptic number.

12819033864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12819033864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22488278400).

12819033864 is an abundant number, since it is smaller than the sum of its proper divisors (32157522936).

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

12819033864 is a wasteful number, since it uses less digits than its factorization.

12819033864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12819033864 in words is "twelve billion, eight hundred nineteen million, thirty-three thousand, eight hundred sixty-four".