111460049568 has 576 divisors, whose sum is σ = 404124779520. Its totient is φ = 29255675904.

The previous prime is 111460049557. The next prime is 111460049609. The reversal of 111460049568 is 865940064111.

111460049568 is a `hidden beast` number, since 1 + 1 + 1 + 46 + 0 + 0 + 49 + 568 = 666.

111460049568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75157755 + ... + 75159237.

It is an arithmetic number, because the mean of its divisors is an integer number (701605520).

Almost surely, 2^111460049568 is an apocalyptic number.

111460049568 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 111460049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202062389760).

111460049568 is an abundant number, since it is smaller than the sum of its proper divisors (292664729952).

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

111460049568 is a wasteful number, since it uses less digits than its factorization.

111460049568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 111460049568 in words is "one hundred eleven billion, four hundred sixty million, forty-nine thousand, five hundred sixty-eight".