6338803505905 has 24 divisors (see below), whose sum is σ = 8701893281592. Its totient is φ = 4405611835392.

The previous prime is 6338803505893. The next prime is 6338803505987. The reversal of 6338803505905 is 5095053088336.

It can be written as a sum of positive squares in 12 ways, for example, as 1006103284209 + 5332700221696 = 1003047^2 + 2309264^2 .

It is not a de Polignac number, because 6338803505905 - 2¹⁷ = 6338803374833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168701032 + ... + 168738601.

It is an arithmetic number, because the mean of its divisors is an integer number (362578886733).

Almost surely, 2^{6338803505905} is an apocalyptic number.

6338803505905 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6338803505905 is a deficient number, since it is larger than the sum of its proper divisors (2363089775687).

6338803505905 is a wasteful number, since it uses less digits than its factorization.

6338803505905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337439685 (or 337439668 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 55.

The spelling of 6338803505905 in words is "six trillion, three hundred thirty-eight billion, eight hundred three million, five hundred five thousand, nine hundred five".