11006646644115 has 96 divisors (see below), whose sum is σ = 20260125902016. Its totient is φ = 5508603002880.

The previous prime is 11006646644089. The next prime is 11006646644117. The reversal of 11006646644115 is 51144664660011.

11006646644115 is a `hidden beast` number, since 1 + 10 + 0 + 66 + 466 + 4 + 4 + 115 = 666.

It is not a de Polignac number, because 11006646644115 - 2¹⁴ = 11006646627731 is a prime.

It is a super-2 number, since 2×11006646644115² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11006646644117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367891137 + ... + 367921053.

It is an arithmetic number, because the mean of its divisors is an integer number (211042978146).

Almost surely, 2^{11006646644115} is an apocalyptic number.

11006646644115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11006646644115 is a deficient number, since it is larger than the sum of its proper divisors (9253479257901).

11006646644115 is a wasteful number, since it uses less digits than its factorization.

11006646644115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31349 (or 31346 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11006646644115 in words is "eleven trillion, six billion, six hundred forty-six million, six hundred forty-four thousand, one hundred fifteen".