1444275975168 has 1408 divisors, whose sum is σ = 5229420134400. Its totient is φ = 389128126464.

The previous prime is 1444275975113. The next prime is 1444275975187. The reversal of 1444275975168 is 8615795724441.

It is a happy number.

1444275975168 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 27 + 5 + 97 + 516 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6042995593 + ... + 6042995831.

It is an arithmetic number, because the mean of its divisors is an integer number (3714076800).

Almost surely, 2^{1444275975168} is an apocalyptic number.

1444275975168 is a gapful number since it is divisible by the number (18) 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 1444275975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614710067200).

1444275975168 is an abundant number, since it is smaller than the sum of its proper divisors (3785144159232).

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

1444275975168 is a wasteful number, since it uses less digits than its factorization.

1444275975168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 1444275975168 in words is "one trillion, four hundred forty-four billion, two hundred seventy-five million, nine hundred seventy-five thousand, one hundred sixty-eight".