144253992960 has 1440 divisors, whose sum is σ = 656241747840. Its totient is φ = 29974855680.

The previous prime is 144253992959. The next prime is 144253993021. The reversal of 144253992960 is 69299352441.

144253992960 is a `hidden beast` number, since 1 + 4 + 42 + 539 + 9 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 144253992897 and 144253992906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13113999355 + ... + 13113999365.

It is an arithmetic number, because the mean of its divisors is an integer number (455723436).

Almost surely, 2^144253992960 is an apocalyptic number.

144253992960 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 144253992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328120873920).

144253992960 is an abundant number, since it is smaller than the sum of its proper divisors (511987754880).

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

144253992960 is an frugal number, since it uses more digits than its factorization.

144253992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 144253992960 in words is "one hundred forty-four billion, two hundred fifty-three million, nine hundred ninety-two thousand, nine hundred sixty".