112782648816768 has 256 divisors, whose sum is σ = 358863921561600. Its totient is φ = 30684365623296.

The previous prime is 112782648816661. The next prime is 112782648816769. The reversal of 112782648816768 is 867618846287211.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112782648816768.

It is not an unprimeable number, because it can be changed into a prime (112782648816769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9696498 + ... + 17877006.

It is an arithmetic number, because the mean of its divisors is an integer number (1401812193600).

Almost surely, 2^{112782648816768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112782648816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179431960780800).

112782648816768 is an abundant number, since it is smaller than the sum of its proper divisors (246081272744832).

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

112782648816768 is a wasteful number, since it uses less digits than its factorization.

112782648816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8180779 (or 8180767 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 75.

The spelling of 112782648816768 in words is "one hundred twelve trillion, seven hundred eighty-two billion, six hundred forty-eight million, eight hundred sixteen thousand, seven hundred sixty-eight".