111496786128 has 480 divisors, whose sum is σ = 396507121920. Its totient is φ = 28463063040.

The previous prime is 111496786103. The next prime is 111496786139. The reversal of 111496786128 is 821687694111.

111496786128 is a `hidden beast` number, since 1 + 1 + 1 + 496 + 78 + 61 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74678950 + ... + 74680442.

It is an arithmetic number, because the mean of its divisors is an integer number (826056504).

Almost surely, 2^111496786128 is an apocalyptic number.

111496786128 is a gapful number since it is divisible by the number (18) 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 111496786128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198253560960).

111496786128 is an abundant number, since it is smaller than the sum of its proper divisors (285010335792).

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

111496786128 is a wasteful number, since it uses less digits than its factorization.

111496786128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1698 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 111496786128 in words is "one hundred eleven billion, four hundred ninety-six million, seven hundred eighty-six thousand, one hundred twenty-eight".