112635648000 has 1152 divisors, whose sum is σ = 446458521600. Its totient is φ = 27205632000.

The previous prime is 112635647963. The next prime is 112635648029. The reversal of 112635648000 is 846536211.

It is a happy number.

112635648000 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 5 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1357055959 + ... + 1357056041.

It is an arithmetic number, because the mean of its divisors is an integer number (387550800).

Almost surely, 2^112635648000 is an apocalyptic number.

112635648000 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 112635648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223229260800).

112635648000 is an abundant number, since it is smaller than the sum of its proper divisors (333822873600).

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

112635648000 is a wasteful number, since it uses less digits than its factorization.

112635648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 112635648000 in words is "one hundred twelve billion, six hundred thirty-five million, six hundred forty-eight thousand".