144669609360 has 400 divisors, whose sum is σ = 517575343296. Its totient is φ = 37430055936.

The previous prime is 144669609319. The next prime is 144669609361. The reversal of 144669609360 is 63906966441.

144669609360 is a `hidden beast` number, since 1 + 4 + 466 + 96 + 0 + 93 + 6 + 0 = 666.

144669609360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 144669609297 and 144669609306.

It is not an unprimeable number, because it can be changed into a prime (144669609361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43744827 + ... + 43748133.

Almost surely, 2^144669609360 is an apocalyptic number.

144669609360 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 144669609360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258787671648).

144669609360 is an abundant number, since it is smaller than the sum of its proper divisors (372905733936).

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

144669609360 is a wasteful number, since it uses less digits than its factorization.

144669609360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 144669609360 in words is "one hundred forty-four billion, six hundred sixty-nine million, six hundred nine thousand, three hundred sixty".