11006634413552 has 20 divisors (see below), whose sum is σ = 21536496299976. Its totient is φ = 5448828916800.

The previous prime is 11006634413447. The next prime is 11006634413587. The reversal of 11006634413552 is 25531443660011.

It is a super-2 number, since 2×11006634413552² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3405516458 + ... + 3405519689.

Almost surely, 2^{11006634413552} is an apocalyptic number.

It is an amenable number.

11006634413552 is a deficient number, since it is larger than the sum of its proper divisors (10529861886424).

11006634413552 is a wasteful number, since it uses less digits than its factorization.

11006634413552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811036256 (or 6811036250 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 11006634413552 in words is "eleven trillion, six billion, six hundred thirty-four million, four hundred thirteen thousand, five hundred fifty-two".