144609000480 has 288 divisors, whose sum is σ = 566845703424. Its totient is φ = 32885250048.

The previous prime is 144609000461. The next prime is 144609000493. The reversal of 144609000480 is 84000906441.

It is a happy number.

144609000480 is a `hidden beast` number, since 1 + 4 + 4 + 609 + 0 + 0 + 0 + 48 + 0 = 666.

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

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

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, 1949349 + ... + 2022171.

It is an arithmetic number, because the mean of its divisors is an integer number (1968214248).

Almost surely, 2^144609000480 is an apocalyptic number.

144609000480 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 144609000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283422851712).

144609000480 is an abundant number, since it is smaller than the sum of its proper divisors (422236702944).

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

144609000480 is a wasteful number, since it uses less digits than its factorization.

144609000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73048 (or 73037 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 144609000480 in words is "one hundred forty-four billion, six hundred nine million, four hundred eighty", and thus it is an aban number.