13086444816 has 45 divisors (see below), whose sum is σ = 36627712069. Its totient is φ = 4361690688.

The previous prime is 13086444779. The next prime is 13086444823. The reversal of 13086444816 is 61844468031.

The square root of 13086444816 is 114396.

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

13086444816 is a `hidden beast` number, since 130 + 8 + 64 + 448 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2207120400 + 10879324416 = 46980^2 + 104304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1367986 + ... + 1377518.

Almost surely, 2^13086444816 is an apocalyptic number.

13086444816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13086444816 is the 114396-th square number.

It is an amenable number.

13086444816 is an abundant number, since it is smaller than the sum of its proper divisors (23541267253).

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

13086444816 is an frugal number, since it uses more digits than its factorization.

13086444816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19080 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13086444816 in words is "thirteen billion, eighty-six million, four hundred forty-four thousand, eight hundred sixteen".