144820224000 has 840 divisors, whose sum is σ = 547529492328. Its totient is φ = 38220595200.

The previous prime is 144820223993. The next prime is 144820224139. The reversal of 144820224000 is 422028441.

144820224000 is a `hidden beast` number, since 14 + 48 + 202 + 2 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8074100736 + 136746123264 = 89856^2 + 369792^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1492991952 + ... + 1492992048.

Almost surely, 2^144820224000 is an apocalyptic number.

144820224000 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 144820224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273764746164).

144820224000 is an abundant number, since it is smaller than the sum of its proper divisors (402709268328).

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

144820224000 is an frugal number, since it uses more digits than its factorization.

144820224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 144820224000 in words is "one hundred forty-four billion, eight hundred twenty million, two hundred twenty-four thousand".