111728729856 has 144 divisors (see below), whose sum is σ = 308104122368. Its totient is φ = 35906457600.

The previous prime is 111728729851. The next prime is 111728729891. The reversal of 111728729856 is 658927827111.

It is a happy number.

111728729856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 111728729796 and 111728729805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111728729851) 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, 6443310 + ... + 6460626.

Almost surely, 2^111728729856 is an apocalyptic number.

111728729856 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 111728729856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154052061184).

111728729856 is an abundant number, since it is smaller than the sum of its proper divisors (196375392512).

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

111728729856 is a wasteful number, since it uses less digits than its factorization.

111728729856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17638 (or 17624 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 57.

The spelling of 111728729856 in words is "one hundred eleven billion, seven hundred twenty-eight million, seven hundred twenty-nine thousand, eight hundred fifty-six".