111850113600 has 315 divisors, whose sum is σ = 411575913067. Its totient is φ = 29794590720.

The previous prime is 111850113569. The next prime is 111850113643. The reversal of 111850113600 is 6311058111.

It is a happy number.

The square root of 111850113600 is 334440.

It is a perfect power (a square), and thus also a powerful number.

111850113600 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 50 + 1 + 1 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56214513216 + 55635600384 = 237096^2 + 235872^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120397936 + ... + 120398864.

Almost surely, 2^111850113600 is an apocalyptic number.

111850113600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111850113600 is the 334440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111850113600

111850113600 is an abundant number, since it is smaller than the sum of its proper divisors (299725799467).

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

111850113600 is an frugal number, since it uses more digits than its factorization.

111850113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 111850113600 in words is "one hundred eleven billion, eight hundred fifty million, one hundred thirteen thousand, six hundred".