112464444600 has 384 divisors, whose sum is σ = 402358176000. Its totient is φ = 28851863040.

The previous prime is 112464444583. The next prime is 112464444607. The reversal of 112464444600 is 6444464211.

112464444600 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 6 + 4 + 4 + 44 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112464444607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15553786 + ... + 15561014.

It is an arithmetic number, because the mean of its divisors is an integer number (1047807750).

Almost surely, 2^112464444600 is an apocalyptic number.

112464444600 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 112464444600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201179088000).

112464444600 is an abundant number, since it is smaller than the sum of its proper divisors (289893731400).

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

112464444600 is a wasteful number, since it uses less digits than its factorization.

112464444600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 112464444600 in words is "one hundred twelve billion, four hundred sixty-four million, four hundred forty-four thousand, six hundred".