11117663187856 has 45 divisors (see below), whose sum is σ = 21754321664529. Its totient is φ = 5504182154688.

The previous prime is 11117663187821. The next prime is 11117663187871. The reversal of 11117663187856 is 65878136671111.

The square root of 11117663187856 is 3334316.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4867583187600 + 6250080000256 = 2206260^2 + 2500016^2 .

It is a super-4 number, since 4×11117663187856⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11117663187794 and 11117663187803.

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 8 ways as a sum of consecutive naturals, for example, 1373734146 + ... + 1373742238.

Almost surely, 2^{11117663187856} is an apocalyptic number.

11117663187856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11117663187856 is the 3334316-th square number.

It is an amenable number.

11117663187856 is a deficient number, since it is larger than the sum of its proper divisors (10636658476673).

11117663187856 is an frugal number, since it uses more digits than its factorization.

11117663187856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16400 (or 8198 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 61.

The spelling of 11117663187856 in words is "eleven trillion, one hundred seventeen billion, six hundred sixty-three million, one hundred eighty-seven thousand, eight hundred fifty-six".