112416710084 has 72 divisors (see below), whose sum is σ = 240304962240. Its totient is φ = 45065839104.

The previous prime is 112416710083. The next prime is 112416710093. The reversal of 112416710084 is 480017614211.

It is a super-3 number, since 3×112416710084³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (112416710083) 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 23 ways as a sum of consecutive naturals, for example, 1276382 + ... + 1361610.

It is an arithmetic number, because the mean of its divisors is an integer number (3337568920).

Almost surely, 2^112416710084 is an apocalyptic number.

112416710084 is a gapful number since it is divisible by the number (14) 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 112416710084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120152481120).

112416710084 is an abundant number, since it is smaller than the sum of its proper divisors (127888252156).

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

112416710084 is a wasteful number, since it uses less digits than its factorization.

112416710084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85437 (or 85418 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 112416710084 in words is "one hundred twelve billion, four hundred sixteen million, seven hundred ten thousand, eighty-four".