144561438720 has 384 divisors, whose sum is σ = 519842494080. Its totient is φ = 38539100160.

The previous prime is 144561438683. The next prime is 144561438733. The reversal of 144561438720 is 27834165441.

144561438720 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 614 + 3 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39811305 + ... + 39814935.

It is an arithmetic number, because the mean of its divisors is an integer number (1353756495).

Almost surely, 2^144561438720 is an apocalyptic number.

144561438720 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 144561438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259921247040).

144561438720 is an abundant number, since it is smaller than the sum of its proper divisors (375281055360).

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

144561438720 is an frugal number, since it uses more digits than its factorization.

144561438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 144561438720 in words is "one hundred forty-four billion, five hundred sixty-one million, four hundred thirty-eight thousand, seven hundred twenty".