11624004144113 has 8 divisors (see below), whose sum is σ = 11820408196008. Its totient is φ = 11428604717184.

The previous prime is 11624004144097. The next prime is 11624004144131. The reversal of 11624004144113 is 31144140042611.

11624004144113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165589583329 + 11458414560784 = 406927^2 + 3385028^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11624004144113 - 2⁴ = 11624004144097 is a prime.

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 11624004144113.

It is not an unprimeable number, because it can be changed into a prime (11624004144133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251132906 + ... + 251179187.

It is an arithmetic number, because the mean of its divisors is an integer number (1477551024501).

Almost surely, 2^{11624004144113} is an apocalyptic number.

It is an amenable number.

11624004144113 is a deficient number, since it is larger than the sum of its proper divisors (196404051895).

11624004144113 is an equidigital number, since it uses as much as digits as its factorization.

11624004144113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502312483.

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 11624004144113 its reverse (31144140042611), we get a palindrome (42768144186724).

The spelling of 11624004144113 in words is "eleven trillion, six hundred twenty-four billion, four million, one hundred forty-four thousand, one hundred thirteen".