112884441600 has 1440 divisors, whose sum is σ = 483701898240. Its totient is φ = 22627123200.

The previous prime is 112884441559. The next prime is 112884441673. The reversal of 112884441600 is 6144488211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3641433585 + ... + 3641433615.

It is an arithmetic number, because the mean of its divisors is an integer number (335904096).

Almost surely, 2^112884441600 is an apocalyptic number.

112884441600 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 112884441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241850949120).

112884441600 is an abundant number, since it is smaller than the sum of its proper divisors (370817456640).

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

112884441600 is a wasteful number, since it uses less digits than its factorization.

112884441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 112884441600 in words is "one hundred twelve billion, eight hundred eighty-four million, four hundred forty-one thousand, six hundred".