11505258338 has 16 divisors (see below), whose sum is σ = 20095439040. Its totient is φ = 4837790256.

The previous prime is 11505258229. The next prime is 11505258343. The reversal of 11505258338 is 83385250511.

11505258338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11505258295 and 11505258304.

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 7 ways as a sum of consecutive naturals, for example, 7752128 + ... + 7753611.

It is an arithmetic number, because the mean of its divisors is an integer number (1255964940).

Almost surely, 2^11505258338 is an apocalyptic number.

11505258338 is a deficient number, since it is larger than the sum of its proper divisors (8590180702).

11505258338 is a wasteful number, since it uses less digits than its factorization.

11505258338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15505801.

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 11505258338 in words is "eleven billion, five hundred five million, two hundred fifty-eight thousand, three hundred thirty-eight".