112294485165600 has 432 divisors, whose sum is σ = 413855950664520. Its totient is φ = 28614529843200.

The previous prime is 112294485165557. The next prime is 112294485165641. The reversal of 112294485165600 is 6561584492211.

It is a happy number.

112294485165600 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 94 + 485 + 16 + 5 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 445331998224 + 111849153167376 = 667332^2 + 10575876^2 .

It is a super-2 number, since 2×112294485165600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 17481390 + ... + 23025810.

Almost surely, 2^{112294485165600} is an apocalyptic number.

112294485165600 is a gapful number since it is divisible by the number (10) 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 112294485165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206927975332260).

112294485165600 is an abundant number, since it is smaller than the sum of its proper divisors (301561465498920).

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

112294485165600 is a wasteful number, since it uses less digits than its factorization.

112294485165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544573 (or 5544557 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 112294485165600 in words is "one hundred twelve trillion, two hundred ninety-four billion, four hundred eighty-five million, one hundred sixty-five thousand, six hundred".