112635670788000 has 288 divisors, whose sum is σ = 399822740029440. Its totient is φ = 30030262156800.

The previous prime is 112635670787993. The next prime is 112635670788023. The reversal of 112635670788000 is 887076536211.

It is a happy number.

112635670788000 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 567 + 0 + 78 + 8 + 0 + 0 + 0 = 666.

112635670788000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183978397 + ... + 184589603.

It is an arithmetic number, because the mean of its divisors is an integer number (1388273402880).

Almost surely, 2^{112635670788000} is an apocalyptic number.

112635670788000 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 112635670788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199911370014720).

112635670788000 is an abundant number, since it is smaller than the sum of its proper divisors (287187069241440).

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

112635670788000 is a wasteful number, since it uses less digits than its factorization.

112635670788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616357 (or 616336 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 112635670788000 in words is "one hundred twelve trillion, six hundred thirty-five billion, six hundred seventy million, seven hundred eighty-eight thousand".