144849825456 has 320 divisors, whose sum is σ = 487740211200. Its totient is φ = 36041822208.

The previous prime is 144849825409. The next prime is 144849825457. The reversal of 144849825456 is 654528948441.

It is a self number, because there is not a number n which added to its sum of digits gives 144849825456.

It is not an unprimeable number, because it can be changed into a prime (144849825457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4651185 + ... + 4682223.

It is an arithmetic number, because the mean of its divisors is an integer number (1524188160).

Almost surely, 2^144849825456 is an apocalyptic number.

144849825456 is a gapful number since it is divisible by the number (16) 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 144849825456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243870105600).

144849825456 is an abundant number, since it is smaller than the sum of its proper divisors (342890385744).

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

144849825456 is a wasteful number, since it uses less digits than its factorization.

144849825456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31136 (or 31130 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 60.

The spelling of 144849825456 in words is "one hundred forty-four billion, eight hundred forty-nine million, eight hundred twenty-five thousand, four hundred fifty-six".