144444128850 has 240 divisors, whose sum is σ = 465141764736. Its totient is φ = 32550336000.

The previous prime is 144444128833. The next prime is 144444128897. The reversal of 144444128850 is 58821444441.

It is a happy number.

144444128850 is a `hidden beast` number, since 1 + 4 + 4 + 444 + 128 + 85 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144444128796 and 144444128805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1976970 + ... + 2048730.

Almost surely, 2^144444128850 is an apocalyptic number.

144444128850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144444128850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232570882368).

144444128850 is an abundant number, since it is smaller than the sum of its proper divisors (320697635886).

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

144444128850 is a wasteful number, since it uses less digits than its factorization.

144444128850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71863 (or 71849 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 144444128850 in words is "one hundred forty-four billion, four hundred forty-four million, one hundred twenty-eight thousand, eight hundred fifty".