112716127616 has 128 divisors (see below), whose sum is σ = 241455297600. Its totient is φ = 52223868928.

The previous prime is 112716127613. The next prime is 112716127651. The reversal of 112716127616 is 616721617211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112716127613) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50932526 + ... + 50934738.

Almost surely, 2^112716127616 is an apocalyptic number.

112716127616 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 112716127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120727648800).

112716127616 is an abundant number, since it is smaller than the sum of its proper divisors (128739169984).

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

112716127616 is a wasteful number, since it uses less digits than its factorization.

112716127616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2584 counting only the distinct ones).

The product of its digits is 42336, while the sum is 41.

The spelling of 112716127616 in words is "one hundred twelve billion, seven hundred sixteen million, one hundred twenty-seven thousand, six hundred sixteen".