43686016144 has 15 divisors (see below), whose sum is σ = 84643276153. Its totient is φ = 21842590048.

The previous prime is 43686016117. The next prime is 43686016159. The reversal of 43686016144 is 44161068634.

The square root of 43686016144 is 209012.

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., 13787456400 + 29898559744 = 117420^2 + 172912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43686016144.

It is an unprimeable number.

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, 809922 + ... + 862174.

Almost surely, 2^43686016144 is an apocalyptic number.

43686016144 is the 209012-nd square number.

It is an amenable number.

43686016144 is a deficient number, since it is larger than the sum of its proper divisors (40957260009).

43686016144 is an frugal number, since it uses more digits than its factorization.

43686016144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104514 (or 52255 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 43686016144 in words is "forty-three billion, six hundred eighty-six million, sixteen thousand, one hundred forty-four".