144581230080 has 480 divisors, whose sum is σ = 605931378624. Its totient is φ = 31102599168.

The previous prime is 144581230049. The next prime is 144581230091. The reversal of 144581230080 is 80032185441.

144581230080 is a `hidden beast` number, since 1 + 4 + 458 + 123 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2715394 + ... + 2768126.

Almost surely, 2^144581230080 is an apocalyptic number.

144581230080 is a gapful number since it is divisible by the number (10) 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 144581230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302965689312).

144581230080 is an abundant number, since it is smaller than the sum of its proper divisors (461350148544).

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

144581230080 is a wasteful number, since it uses less digits than its factorization.

144581230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52786 (or 52767 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 144581230080 in words is "one hundred forty-four billion, five hundred eighty-one million, two hundred thirty thousand, eighty".