111345350400 has 324 divisors, whose sum is σ = 419040705720. Its totient is φ = 28129075200.

The previous prime is 111345350383. The next prime is 111345350471. The reversal of 111345350400 is 4053543111.

It is a happy number.

111345350400 is a `hidden beast` number, since 1 + 113 + 45 + 3 + 504 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1043530 + ... + 1145270.

Almost surely, 2^111345350400 is an apocalyptic number.

111345350400 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 111345350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209520352860).

111345350400 is an abundant number, since it is smaller than the sum of its proper divisors (307695355320).

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

111345350400 is a wasteful number, since it uses less digits than its factorization.

111345350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101792 (or 101770 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 111345350400 its reverse (4053543111), we get a palindrome (115398893511).

The spelling of 111345350400 in words is "one hundred eleven billion, three hundred forty-five million, three hundred fifty thousand, four hundred".