111664983412800 has 672 divisors, whose sum is σ = 418031050550400. Its totient is φ = 28978421760000.

The previous prime is 111664983412727. The next prime is 111664983412849. The reversal of 111664983412800 is 8214389466111.

111664983412800 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 64 + 98 + 3 + 412 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 710172591 + ... + 710329809.

It is an arithmetic number, because the mean of its divisors is an integer number (622070015700).

Almost surely, 2^{111664983412800} is an apocalyptic number.

111664983412800 is a gapful number since it is divisible by the number (10) 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 111664983412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209015525275200).

111664983412800 is an abundant number, since it is smaller than the sum of its proper divisors (306366067137600).

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

111664983412800 is a wasteful number, since it uses less digits than its factorization.

111664983412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157692 (or 157671 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 111664983412800 in words is "one hundred eleven trillion, six hundred sixty-four billion, nine hundred eighty-three million, four hundred twelve thousand, eight hundred".