112645209600 has 2400 divisors, whose sum is σ = 556987850496. Its totient is φ = 21764505600.

The previous prime is 112645209577. The next prime is 112645209629. The reversal of 112645209600 is 6902546211.

112645209600 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 45 + 2 + 0 + 9 + 600 = 666.

112645209600 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 (2400).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1357171159 + ... + 1357171241.

Almost surely, 2^112645209600 is an apocalyptic number.

112645209600 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 112645209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278493925248).

112645209600 is an abundant number, since it is smaller than the sum of its proper divisors (444342640896).

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

112645209600 is a wasteful number, since it uses less digits than its factorization.

112645209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 112645209600 in words is "one hundred twelve billion, six hundred forty-five million, two hundred nine thousand, six hundred".