144419180544 has 156 divisors (see below), whose sum is σ = 419833931556. Its totient is φ = 47831187456.

The previous prime is 144419180531. The next prime is 144419180551. The reversal of 144419180544 is 445081914441.

144419180544 is a `hidden beast` number, since 1 + 4 + 4 + 419 + 180 + 54 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73705734144 + 70713446400 = 271488^2 + 265920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144419180544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5775172 + ... + 5800124.

It is an arithmetic number, because the mean of its divisors is an integer number (2691243151).

Almost surely, 2^144419180544 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 144419180544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209916965778).

144419180544 is an abundant number, since it is smaller than the sum of its proper divisors (275414751012).

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

144419180544 is a wasteful number, since it uses less digits than its factorization.

144419180544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25140 (or 25115 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 144419180544 in words is "one hundred forty-four billion, four hundred nineteen million, one hundred eighty thousand, five hundred forty-four".