6838505144 has 32 divisors (see below), whose sum is σ = 12886866720. Its totient is φ = 3402047616.

The previous prime is 6838505027. The next prime is 6838505173. The reversal of 6838505144 is 4415058386.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6838505095 and 6838505104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1702082 + ... + 1706094.

It is an arithmetic number, because the mean of its divisors is an integer number (402714585).

Almost surely, 2^6838505144 is an apocalyptic number.

It is an amenable number.

6838505144 is a deficient number, since it is larger than the sum of its proper divisors (6048361576).

6838505144 is a wasteful number, since it uses less digits than its factorization.

6838505144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The square root of 6838505144 is about 82695.2546643397. The cubic root of 6838505144 is about 1898.1056968612.

The spelling of 6838505144 in words is "six billion, eight hundred thirty-eight million, five hundred five thousand, one hundred forty-four".