11464144218144 has 72 divisors (see below), whose sum is σ = 32614323700140. Its totient is φ = 3819838422528.

The previous prime is 11464144218091. The next prime is 11464144218167. The reversal of 11464144218144 is 44181244146411.

11464144218144 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 414 + 4 + 218 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11108809008144 + 355335210000 = 3332988^2 + 596100^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11464144218144.

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 11 ways as a sum of consecutive naturals, for example, 7321759 + ... + 8748510.

Almost surely, 2^{11464144218144} is an apocalyptic number.

It is an amenable number.

11464144218144 is an abundant number, since it is smaller than the sum of its proper divisors (21150179481996).

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

11464144218144 is a wasteful number, since it uses less digits than its factorization.

11464144218144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16072762 (or 16072751 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The spelling of 11464144218144 in words is "eleven trillion, four hundred sixty-four billion, one hundred forty-four million, two hundred eighteen thousand, one hundred forty-four".