111321707401728 has 200 divisors, whose sum is σ = 332308062133740. Its totient is φ = 37102536622080.

The previous prime is 111321707401703. The next prime is 111321707401747. The reversal of 111321707401728 is 827104707123111.

111321707401728 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 2 + 170 + 7 + 401 + 72 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82492024230144 + 28829683171584 = 9082512^2 + 5369328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 335301088 + ... + 335632928.

Almost surely, 2^{111321707401728} is an apocalyptic number.

111321707401728 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 111321707401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166154031066870).

111321707401728 is an abundant number, since it is smaller than the sum of its proper divisors (220986354732012).

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

111321707401728 is an frugal number, since it uses more digits than its factorization.

111321707401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339960 (or 339935 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 111321707401728 in words is "one hundred eleven trillion, three hundred twenty-one billion, seven hundred seven million, four hundred one thousand, seven hundred twenty-eight".