144971223552 has 200 divisors, whose sum is σ = 433878230016. Its totient is φ = 48192288768.

The previous prime is 144971223539. The next prime is 144971223673. The reversal of 144971223552 is 255322179441.

144971223552 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 71 + 2 + 23 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144971223498 and 144971223507.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15879213 + ... + 15888339.

Almost surely, 2^144971223552 is an apocalyptic number.

144971223552 is a gapful number since it is divisible by the number (12) 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 144971223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216939115008).

144971223552 is an abundant number, since it is smaller than the sum of its proper divisors (288907006464).

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

144971223552 is an frugal number, since it uses more digits than its factorization.

144971223552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540 (or 9515 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 144971223552 in words is "one hundred forty-four billion, nine hundred seventy-one million, two hundred twenty-three thousand, five hundred fifty-two".