144085721472 has 288 divisors, whose sum is σ = 526164093000. Its totient is φ = 37424701440.

The previous prime is 144085721431. The next prime is 144085721537. The reversal of 144085721472 is 274127580441.

144085721472 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 8 + 572 + 1 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 504904 + ... + 736952.

Almost surely, 2^144085721472 is an apocalyptic number.

144085721472 is a gapful number since it is divisible by the number (12) 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 144085721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263082046500).

144085721472 is an abundant number, since it is smaller than the sum of its proper divisors (382078371528).

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

144085721472 is a wasteful number, since it uses less digits than its factorization.

144085721472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232094 (or 232072 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 144085721472 in words is "one hundred forty-four billion, eighty-five million, seven hundred twenty-one thousand, four hundred seventy-two".