13086581181444 has 81 divisors (see below), whose sum is σ = 33179188799029. Its totient is φ = 4349148885120.

The previous prime is 13086581181409. The next prime is 13086581181463. The reversal of 13086581181444 is 44418118568031.

The square root of 13086581181444 is 3617538.

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

13086581181444 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 6 + 581 + 1 + 8 + 14 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2223492535044 + 10863088646400 = 1491138^2 + 3295920^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9615415324 + ... + 9615416684.

Almost surely, 2^{13086581181444} is an apocalyptic number.

13086581181444 is the 3617538-th square number.

It is an amenable number.

13086581181444 is an abundant number, since it is smaller than the sum of its proper divisors (20092607617585).

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

13086581181444 is an frugal number, since it uses more digits than its factorization.

13086581181444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 13086581181444 in words is "thirteen trillion, eighty-six billion, five hundred eighty-one million, one hundred eighty-one thousand, four hundred forty-four".