13394985127056 has 405 divisors, whose sum is σ = 42092865740289. Its totient is φ = 3974493100032.

The previous prime is 13394985127003. The next prime is 13394985127061. The reversal of 13394985127056 is 65072158949331.

The square root of 13394985127056 is 3659916.

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

13394985127056 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 49 + 8 + 512 + 70 + 5 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5819191290000 + 7575793837056 = 2412300^2 + 2752416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13394985126984 and 13394985127002.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16557459580 + ... + 16557460388.

It is a 1-persistent number, because it is pandigital, but 2⋅13394985127056 = 26789970254112 is not.

Almost surely, 2^{13394985127056} is an apocalyptic number.

13394985127056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13394985127056 is the 3659916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13394985127056

13394985127056 is an abundant number, since it is smaller than the sum of its proper divisors (28697880613233).

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

13394985127056 is an equidigital number, since it uses as much as digits as its factorization.

13394985127056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 13394985127056 in words is "thirteen trillion, three hundred ninety-four billion, nine hundred eighty-five million, one hundred twenty-seven thousand, fifty-six".