112906687968 has 144 divisors (see below), whose sum is σ = 333331479936. Its totient is φ = 37594730880.

The previous prime is 112906687967. The next prime is 112906687981. The reversal of 112906687968 is 869786609211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112906687961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7636423 + ... + 7651193.

It is an arithmetic number, because the mean of its divisors is an integer number (2314801944).

Almost surely, 2^112906687968 is an apocalyptic number.

112906687968 is a gapful number since it is divisible by the number (18) 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 112906687968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166665739968).

112906687968 is an abundant number, since it is smaller than the sum of its proper divisors (220424791968).

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

112906687968 is an equidigital number, since it uses as much as digits as its factorization.

112906687968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 112906687968 in words is "one hundred twelve billion, nine hundred six million, six hundred eighty-seven thousand, nine hundred sixty-eight".