11005111665816 has 64 divisors (see below), whose sum is σ = 28964353680000. Its totient is φ = 3474874400256.

The previous prime is 11005111665749. The next prime is 11005111665817. The reversal of 11005111665816 is 61856611150011.

It is a super-2 number, since 2×11005111665816² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005111665817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2279680 + ... + 5216048.

It is an arithmetic number, because the mean of its divisors is an integer number (452568026250).

Almost surely, 2^{11005111665816} is an apocalyptic number.

It is an amenable number.

11005111665816 is an abundant number, since it is smaller than the sum of its proper divisors (17959242014184).

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

11005111665816 is a wasteful number, since it uses less digits than its factorization.

11005111665816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944616 (or 2944612 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 42.

The spelling of 11005111665816 in words is "eleven trillion, five billion, one hundred eleven million, six hundred sixty-five thousand, eight hundred sixteen".