144546015014048 has 144 divisors (see below), whose sum is σ = 295782394257000. Its totient is φ = 69451740610560.

The previous prime is 144546015014047. The next prime is 144546015014087. The reversal of 144546015014048 is 840410510645441.

144546015014048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67885273519504 + 76660741494544 = 8239252^2 + 8755612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144546015013993 and 144546015014011.

It is not an unprimeable number, because it can be changed into a prime (144546015014047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102587660768 + ... + 102587662176.

Almost surely, 2^{144546015014048} 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 144546015014048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891197128500).

144546015014048 is an abundant number, since it is smaller than the sum of its proper divisors (151236379242952).

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

144546015014048 is a wasteful number, since it uses less digits than its factorization.

144546015014048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 47.

Adding to 144546015014048 its reverse (840410510645441), we get a palindrome (984956525659489).

The spelling of 144546015014048 in words is "one hundred forty-four trillion, five hundred forty-six billion, fifteen million, fourteen thousand, forty-eight".