13816178208144 has 135 divisors (see below), whose sum is σ = 41870976828993. Its totient is φ = 4250953339776.

The previous prime is 13816178208139. The next prime is 13816178208163. The reversal of 13816178208144 is 44180287161831.

It is a happy number.

The square root of 13816178208144 is 3717012.

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

13816178208144 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 617 + 8 + 2 + 0 + 8 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2043813344400 + 11772364863744 = 1429620^2 + 3431088^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 579841959 + ... + 579865785.

Almost surely, 2^{13816178208144} is an apocalyptic number.

13816178208144 is the 3717012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13816178208144

13816178208144 is an abundant number, since it is smaller than the sum of its proper divisors (28054798620849).

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

13816178208144 is an frugal number, since it uses more digits than its factorization.

13816178208144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47694 (or 23845 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 13816178208144 in words is "thirteen trillion, eight hundred sixteen billion, one hundred seventy-eight million, two hundred eight thousand, one hundred forty-four".