111627683712 has 768 divisors, whose sum is σ = 381735244800. Its totient is φ = 32248627200.

The previous prime is 111627683663. The next prime is 111627683723. The reversal of 111627683712 is 217386726111.

111627683712 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 276 + 8 + 371 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411910137 + ... + 411910407.

It is an arithmetic number, because the mean of its divisors is an integer number (497051100).

Almost surely, 2^111627683712 is an apocalyptic number.

111627683712 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 111627683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190867622400).

111627683712 is an abundant number, since it is smaller than the sum of its proper divisors (270107561088).

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

111627683712 is a wasteful number, since it uses less digits than its factorization.

111627683712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 111627683712 in words is "one hundred eleven billion, six hundred twenty-seven million, six hundred eighty-three thousand, seven hundred twelve".