11006634416504 has 16 divisors (see below), whose sum is σ = 20638225723920. Its totient is φ = 5503107556800.

The previous prime is 11006634416501. The next prime is 11006634416527. The reversal of 11006634416504 is 40561443660011.

It is a happy number.

It is a super-4 number, since 4×11006634416504⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 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, 25983197 + ... + 26403404.

It is an arithmetic number, because the mean of its divisors is an integer number (1289889107745).

Almost surely, 2^{11006634416504} is an apocalyptic number.

It is an amenable number.

11006634416504 is a deficient number, since it is larger than the sum of its proper divisors (9631591307416).

11006634416504 is a wasteful number, since it uses less digits than its factorization.

11006634416504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52412870 (or 52412866 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 11006634416504 in words is "eleven trillion, six billion, six hundred thirty-four million, four hundred sixteen thousand, five hundred four".