144202856000 has 448 divisors, whose sum is σ = 431984017920. Its totient is φ = 46581350400.

The previous prime is 144202855939. The next prime is 144202856003. The reversal of 144202856000 is 658202441.

144202856000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (144202856003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333031784 + ... + 333032216.

It is an arithmetic number, because the mean of its divisors is an integer number (964250040).

Almost surely, 2^144202856000 is an apocalyptic number.

144202856000 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 144202856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215992008960).

144202856000 is an abundant number, since it is smaller than the sum of its proper divisors (287781161920).

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

144202856000 is a wasteful number, since it uses less digits than its factorization.

144202856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 144202856000 in words is "one hundred forty-four billion, two hundred two million, eight hundred fifty-six thousand".