112526008331616 has 768 divisors, whose sum is σ = 374300846760960. Its totient is φ = 32586098688000.

The previous prime is 112526008331599. The next prime is 112526008331663. The reversal of 112526008331616 is 616133800625211.

112526008331616 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 2 + 600 + 8 + 3 + 31 + 6 + 1 + 6 = 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 127 ways as a sum of consecutive naturals, for example, 13651094791 + ... + 13651103033.

It is an arithmetic number, because the mean of its divisors is an integer number (487370894220).

Almost surely, 2^{112526008331616} is an apocalyptic number.

112526008331616 is a gapful number since it is divisible by the number (16) 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 112526008331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187150423380480).

112526008331616 is an abundant number, since it is smaller than the sum of its proper divisors (261774838429344).

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

112526008331616 is a wasteful number, since it uses less digits than its factorization.

112526008331616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028 (or 9014 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

Adding to 112526008331616 its reverse (616133800625211), we get a palindrome (728659808956827).

The spelling of 112526008331616 in words is "one hundred twelve trillion, five hundred twenty-six billion, eight million, three hundred thirty-one thousand, six hundred sixteen".