13396068484096 has 33 divisors (see below), whose sum is σ = 26779289001829. Its totient is φ = 6697975681024.

The previous prime is 13396068484091. The next prime is 13396068484111. The reversal of 13396068484096 is 69048486069331.

The square root of 13396068484096 is 3660064.

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., 285412377600 + 13110656106496 = 534240^2 + 3620864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13396068484091) 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 2 ways as a sum of consecutive naturals, for example, 117064860 + ... + 117179236.

Almost surely, 2^{13396068484096} is an apocalyptic number.

13396068484096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13396068484096 is the 3660064-th square number.

It is an amenable number.

13396068484096 is a deficient number, since it is larger than the sum of its proper divisors (13383220517733).

13396068484096 is an frugal number, since it uses more digits than its factorization.

13396068484096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228774 (or 114379 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 67.

The spelling of 13396068484096 in words is "thirteen trillion, three hundred ninety-six billion, sixty-eight million, four hundred eighty-four thousand, ninety-six".