111738816000 has 1440 divisors, whose sum is σ = 485317321632. Its totient is φ = 24617779200.

The previous prime is 111738815987. The next prime is 111738816001. The reversal of 111738816000 is 618837111.

It is a happy number.

111738816000 is a `hidden beast` number, since 1 + 1 + 17 + 38 + 8 + 1 + 600 + 0 = 666.

111738816000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111738816001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1044287947 + ... + 1044288053.

Almost surely, 2^111738816000 is an apocalyptic number.

111738816000 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 111738816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242658660816).

111738816000 is an abundant number, since it is smaller than the sum of its proper divisors (373578505632).

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

111738816000 is a wasteful number, since it uses less digits than its factorization.

111738816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 111738816000 in words is "one hundred eleven billion, seven hundred thirty-eight million, eight hundred sixteen thousand".