13838335824 has 40 divisors (see below), whose sum is σ = 35928702400. Its totient is φ = 4589595648.

The previous prime is 13838335811. The next prime is 13838335829. The reversal of 13838335824 is 42853383831.

13838335824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838335829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 714817 + ... + 733920.

It is an arithmetic number, because the mean of its divisors is an integer number (898217560).

Almost surely, 2^13838335824 is an apocalyptic number.

It is an amenable number.

13838335824 is an abundant number, since it is smaller than the sum of its proper divisors (22090366576).

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

13838335824 is a wasteful number, since it uses less digits than its factorization.

13838335824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448947 (or 1448941 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 13838335824 in words is "thirteen billion, eight hundred thirty-eight million, three hundred thirty-five thousand, eight hundred twenty-four".