444024113144112 has 160 divisors (see below), whose sum is σ = 1275887825452800. Its totient is φ = 147848540792832.

The previous prime is 444024113144057. The next prime is 444024113144137. The reversal of 444024113144112 is 211441311420444.

444024113144112 is a `hidden beast` number, since 4 + 4 + 40 + 2 + 41 + 131 + 441 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546240608 + ... + 1546527744.

It is an arithmetic number, because the mean of its divisors is an integer number (7974298909080).

Almost surely, 2^{444024113144112} is an apocalyptic number.

It is an amenable number.

444024113144112 is an abundant number, since it is smaller than the sum of its proper divisors (831863712308688).

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

444024113144112 is a wasteful number, since it uses less digits than its factorization.

444024113144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291000 (or 290988 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 444024113144112 its reverse (211441311420444), we get a palindrome (655465424564556).

The spelling of 444024113144112 in words is "four hundred forty-four trillion, twenty-four billion, one hundred thirteen million, one hundred forty-four thousand, one hundred twelve".