11006634416511 has 8 divisors (see below), whose sum is σ = 15313578318720. Its totient is φ = 7018723395992.

The previous prime is 11006634416501. The next prime is 11006634416527. The reversal of 11006634416511 is 11561443660011.

11006634416511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11006634416511 - 2¹⁵ = 11006634383743 is a prime.

It is a super-2 number, since 2×11006634416511² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006634416511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006634416501) 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, 79758220341 + ... + 79758220478.

It is an arithmetic number, because the mean of its divisors is an integer number (1914197289840).

Almost surely, 2^{11006634416511} is an apocalyptic number.

11006634416511 is a deficient number, since it is larger than the sum of its proper divisors (4306943902209).

11006634416511 is a wasteful number, since it uses less digits than its factorization.

11006634416511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159516440845.

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 11006634416511 in words is "eleven trillion, six billion, six hundred thirty-four million, four hundred sixteen thousand, five hundred eleven".