112464144001 has 8 divisors (see below), whose sum is σ = 122695239744. Its totient is φ = 102234228720.

The previous prime is 112464143923. The next prime is 112464144029. The reversal of 112464144001 is 100441464211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112464144001 - 2¹³ = 112464135809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112464144031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 89686 + ... + 482671.

It is an arithmetic number, because the mean of its divisors is an integer number (15336904968).

Almost surely, 2^112464144001 is an apocalyptic number.

112464144001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112464144001 is a deficient number, since it is larger than the sum of its proper divisors (10231095743).

112464144001 is a wasteful number, since it uses less digits than its factorization.

112464144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590231.

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 112464144001 in words is "one hundred twelve billion, four hundred sixty-four million, one hundred forty-four thousand, one".