142241446224 has 160 divisors (see below), whose sum is σ = 422905968000. Its totient is φ = 45720170496.

The previous prime is 142241446213. The next prime is 142241446231. The reversal of 142241446224 is 422644142241.

142241446224 is a `hidden beast` number, since 1 + 4 + 2 + 24 + 1 + 4 + 4 + 622 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10353792 + ... + 10367520.

It is an arithmetic number, because the mean of its divisors is an integer number (2643162300).

Almost surely, 2^142241446224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142241446224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211452984000).

142241446224 is an abundant number, since it is smaller than the sum of its proper divisors (280664521776).

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

142241446224 is a wasteful number, since it uses less digits than its factorization.

142241446224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602 (or 14590 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 142241446224 its reverse (422644142241), we get a palindrome (564885588465).

The spelling of 142241446224 in words is "one hundred forty-two billion, two hundred forty-one million, four hundred forty-six thousand, two hundred twenty-four".