112165671744224 has 48 divisors (see below), whose sum is σ = 252396970455168. Its totient is φ = 48066390932352.

The previous prime is 112165671744223. The next prime is 112165671744319. The reversal of 112165671744224 is 422447176561211.

112165671744224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112165671744224² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112165671744223) 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 7 ways as a sum of consecutive naturals, for example, 21676034 + ... + 26347329.

It is an arithmetic number, because the mean of its divisors is an integer number (5258270217816).

Almost surely, 2^{112165671744224} is an apocalyptic number.

112165671744224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112165671744224 is an abundant number, since it is smaller than the sum of its proper divisors (140231298710944).

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

112165671744224 is a wasteful number, since it uses less digits than its factorization.

112165671744224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48033807 (or 48033799 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 53.

The spelling of 112165671744224 in words is "one hundred twelve trillion, one hundred sixty-five billion, six hundred seventy-one million, seven hundred forty-four thousand, two hundred twenty-four".