11144565144513 has 48 divisors (see below), whose sum is σ = 17467471909440. Its totient is φ = 7021055834496.

The previous prime is 11144565144511. The next prime is 11144565144551. The reversal of 11144565144513 is 31544156544111.

11144565144513 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 45 + 6 + 51 + 44 + 513 = 666.

11144565144513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11144565144513 - 2¹ = 11144565144511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11144565144511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3514920 + ... + 5885897.

It is an arithmetic number, because the mean of its divisors is an integer number (363905664780).

Almost surely, 2^{11144565144513} is an apocalyptic number.

It is an amenable number.

11144565144513 is a deficient number, since it is larger than the sum of its proper divisors (6322906764927).

11144565144513 is an equidigital number, since it uses as much as digits as its factorization.

11144565144513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400955 (or 9400926 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 11144565144513 in words is "eleven trillion, one hundred forty-four billion, five hundred sixty-five million, one hundred forty-four thousand, five hundred thirteen".