112464144000 has 384 divisors, whose sum is σ = 434962316880. Its totient is φ = 27683020800.

The previous prime is 112464143923. The next prime is 112464144029. The reversal of 112464144000 is 441464211.

112464144000 is a `hidden beast` number, since 1 + 1 + 246 + 4 + 14 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 549808704 + 111914335296 = 23448^2 + 334536^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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, 1841962 + ... + 1902038.

Almost surely, 2^112464144000 is an apocalyptic number.

112464144000 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 112464144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217481158440).

112464144000 is an abundant number, since it is smaller than the sum of its proper divisors (322498172880).

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

112464144000 is a wasteful number, since it uses less digits than its factorization.

112464144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60125 (or 60100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 112464144000 in words is "one hundred twelve billion, four hundred sixty-four million, one hundred forty-four thousand".