111942693017856 has 1296 divisors, whose sum is σ = 372148247016000. Its totient is φ = 33441428275200.

The previous prime is 111942693017789. The next prime is 111942693017861. The reversal of 111942693017856 is 658710396249111.

111942693017856 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 426 + 9 + 30 + 178 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a junction number, because it is equal to n+sod(n) for n = 111942693017793 and 111942693017802.

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 143 ways as a sum of consecutive naturals, for example, 224334053895 + ... + 224334054393.

It is a 1-persistent number, because it is pandigital, but 2⋅111942693017856 = 223885386035712 is not.

Almost surely, 2^{111942693017856} is an apocalyptic number.

111942693017856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111942693017856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186074123508000).

111942693017856 is an abundant number, since it is smaller than the sum of its proper divisors (260205553998144).

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

111942693017856 is an equidigital number, since it uses as much as digits as its factorization.

111942693017856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 111942693017856 in words is "one hundred eleven trillion, nine hundred forty-two billion, six hundred ninety-three million, seventeen thousand, eight hundred fifty-six".