112652048793600 has 324 divisors, whose sum is σ = 403543238810166. Its totient is φ = 30040538480640.

The previous prime is 112652048793553. The next prime is 112652048793659. The reversal of 112652048793600 is 6397840256211.

It is a happy number.

112652048793600 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 20 + 4 + 8 + 7 + 9 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 104538028179456 + 8114020614144 = 10224384^2 + 2848512^2 .

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 17 ways as a sum of consecutive naturals, for example, 27581274 + ... + 31401126.

It is a 1-persistent number, because it is pandigital, but 2⋅112652048793600 = 225304097587200 is not.

Almost surely, 2^{112652048793600} is an apocalyptic number.

112652048793600 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 112652048793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201771619405083).

112652048793600 is an abundant number, since it is smaller than the sum of its proper divisors (290891190016566).

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

112652048793600 is an frugal number, since it uses more digits than its factorization.

112652048793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819903 (or 3819863 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 112652048793600 in words is "one hundred twelve trillion, six hundred fifty-two billion, forty-eight million, seven hundred ninety-three thousand, six hundred".