10938471416896 has 21 divisors (see below), whose sum is σ = 21706081721989. Its totient is φ = 5469222479104.

The previous prime is 10938471416893. The next prime is 10938471416933. The reversal of 10938471416896 is 69861417483901.

The square root of 10938471416896 is 3307336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4620608193600 + 6317863223296 = 2149560^2 + 2513536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10938471416891) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 26251980 + ... + 26665396.

Almost surely, 2^{10938471416896} is an apocalyptic number.

10938471416896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10938471416896 is the 3307336-th square number.

It is an amenable number.

10938471416896 is a deficient number, since it is larger than the sum of its proper divisors (10767610305093).

10938471416896 is an frugal number, since it uses more digits than its factorization.

10938471416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826846 (or 413419 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 67.

The spelling of 10938471416896 in words is "ten trillion, nine hundred thirty-eight billion, four hundred seventy-one million, four hundred sixteen thousand, eight hundred ninety-six".