144823689920 has 448 divisors, whose sum is σ = 439467662592. Its totient is φ = 44236800000.

The previous prime is 144823689917. The next prime is 144823689929. The reversal of 144823689920 is 29986328441.

It is a happy number.

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 (56).

It is not an unprimeable number, because it can be changed into a prime (144823689929) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 120585320 + ... + 120586520.

It is an arithmetic number, because the mean of its divisors is an integer number (980954604).

Almost surely, 2^144823689920 is an apocalyptic number.

144823689920 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 144823689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219733831296).

144823689920 is an abundant number, since it is smaller than the sum of its proper divisors (294643972672).

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

144823689920 is a wasteful number, since it uses less digits than its factorization.

144823689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 144823689920 in words is "one hundred forty-four billion, eight hundred twenty-three million, six hundred eighty-nine thousand, nine hundred twenty".