11006634413553 has 16 divisors (see below), whose sum is σ = 14700127449600. Its totient is φ = 7325449549056.

The previous prime is 11006634413447. The next prime is 11006634413587. The reversal of 11006634413553 is 35531443660011.

It is not a de Polignac number, because 11006634413553 - 2¹⁴ = 11006634397169 is a prime.

It is a super-2 number, since 2×11006634413553² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006634493553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81252723 + ... + 81388071.

It is an arithmetic number, because the mean of its divisors is an integer number (918757965600).

Almost surely, 2^{11006634413553} is an apocalyptic number.

It is an amenable number.

11006634413553 is a deficient number, since it is larger than the sum of its proper divisors (3693493036047).

11006634413553 is a wasteful number, since it uses less digits than its factorization.

11006634413553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180616.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 11006634413553 in words is "eleven trillion, six billion, six hundred thirty-four million, four hundred thirteen thousand, five hundred fifty-three".