11116345165056 has 108 divisors (see below), whose sum is σ = 33936526282932. Its totient is φ = 3487480823808.

The previous prime is 11116345165033. The next prime is 11116345165087. The reversal of 11116345165056 is 65056154361111.

11116345165056 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 6 + 34 + 516 + 50 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10130725094400 + 985620070656 = 3182880^2 + 992784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141866791 + ... + 141945126.

Almost surely, 2^{11116345165056} is an apocalyptic number.

11116345165056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11116345165056 is an abundant number, since it is smaller than the sum of its proper divisors (22820181117876).

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

11116345165056 is a wasteful number, since it uses less digits than its factorization.

11116345165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283811956 (or 283811939 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 11116345165056 in words is "eleven trillion, one hundred sixteen billion, three hundred forty-five million, one hundred sixty-five thousand, fifty-six".