11006521014664 has 64 divisors (see below), whose sum is σ = 23735065651200. Its totient is φ = 4687187529024.

The previous prime is 11006521014641. The next prime is 11006521014673. The reversal of 11006521014664 is 46641012560011.

It is a super-2 number, since 2×11006521014664² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 12888127 + ... + 13715569.

It is an arithmetic number, because the mean of its divisors is an integer number (370860400800).

Almost surely, 2^{11006521014664} is an apocalyptic number.

11006521014664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11006521014664 is an abundant number, since it is smaller than the sum of its proper divisors (12728544636536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11006521014664 is a wasteful number, since it uses less digits than its factorization.

11006521014664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828962 (or 828958 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 11006521014664 its reverse (46641012560011), we get a palindrome (57647533574675).

The spelling of 11006521014664 in words is "eleven trillion, six billion, five hundred twenty-one million, fourteen thousand, six hundred sixty-four".