111145208832 has 1320 divisors, whose sum is σ = 426933128160. Its totient is φ = 28612362240.

The previous prime is 111145208777. The next prime is 111145208833. The reversal of 111145208832 is 238802541111.

It is a happy number.

111145208832 is a `hidden beast` number, since 1 + 11 + 14 + 520 + 88 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (111145208833) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 2710858732 + ... + 2710858772.

It is an arithmetic number, because the mean of its divisors is an integer number (323434188).

Almost surely, 2^111145208832 is an apocalyptic number.

111145208832 is a gapful number since it is divisible by the number (12) 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 111145208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213466564080).

111145208832 is an abundant number, since it is smaller than the sum of its proper divisors (315787919328).

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

111145208832 is a wasteful number, since it uses less digits than its factorization.

111145208832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 111145208832 its reverse (238802541111), we get a palindrome (349947749943).

The spelling of 111145208832 in words is "one hundred eleven billion, one hundred forty-five million, two hundred eight thousand, eight hundred thirty-two".