144799920000 has 640 divisors, whose sum is σ = 546799968000. Its totient is φ = 37691136000.

The previous prime is 144799919993. The next prime is 144799920007. The reversal of 144799920000 is 29997441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144799919993) and next prime (144799920007).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144799920007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92879221 + ... + 92880779.

It is an arithmetic number, because the mean of its divisors is an integer number (854374950).

Almost surely, 2^144799920000 is an apocalyptic number.

144799920000 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 144799920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273399984000).

144799920000 is an abundant number, since it is smaller than the sum of its proper divisors (402000048000).

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

144799920000 is an equidigital number, since it uses as much as digits as its factorization.

144799920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 144799920000 in words is "one hundred forty-four billion, seven hundred ninety-nine million, nine hundred twenty thousand".