11117656992024 has 144 divisors (see below), whose sum is σ = 33219510760800. Its totient is φ = 3356462144640.

The previous prime is 11117656991951. The next prime is 11117656992067. The reversal of 11117656992024 is 42029965671111.

11117656992024 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 76 + 569 + 9 + 2 + 0 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28464 + ... + 4715519.

It is an arithmetic number, because the mean of its divisors is an integer number (230691046950).

Almost surely, 2^{11117656992024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11117656992024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609755380400).

11117656992024 is an abundant number, since it is smaller than the sum of its proper divisors (22101853768776).

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

11117656992024 is a wasteful number, since it uses less digits than its factorization.

11117656992024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744286 (or 4744268 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 11117656992024 in words is "eleven trillion, one hundred seventeen billion, six hundred fifty-six million, nine hundred ninety-two thousand, twenty-four".