11006634416464 has 10 divisors (see below), whose sum is σ = 21325354181930. Its totient is φ = 5503317208224.

The previous prime is 11006634416411. The next prime is 11006634416497. The reversal of 11006634416464 is 46461443660011.

It can be written as a sum of positive squares in only one way, i.e., 10896072846400 + 110561570064 = 3300920^2 + 332508^2 .

It is a super-2 number, since 2×11006634416464² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 343957325499 + ... + 343957325530.

It is an arithmetic number, because the mean of its divisors is an integer number (2132535418193).

Almost surely, 2^{11006634416464} is an apocalyptic number.

It is an amenable number.

11006634416464 is a deficient number, since it is larger than the sum of its proper divisors (10318719765466).

11006634416464 is an equidigital number, since it uses as much as digits as its factorization.

11006634416464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687914651037 (or 687914651031 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 11006634416464 in words is "eleven trillion, six billion, six hundred thirty-four million, four hundred sixteen thousand, four hundred sixty-four".