144849968640 has 480 divisors, whose sum is σ = 568701413280. Its totient is φ = 33777451008.

The previous prime is 144849968591. The next prime is 144849968651. The reversal of 144849968640 is 46869948441.

144849968640 is a `hidden beast` number, since 1 + 4 + 48 + 499 + 68 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5678154 + ... + 5703606.

It is an arithmetic number, because the mean of its divisors is an integer number (1184794611).

Almost surely, 2^144849968640 is an apocalyptic number.

144849968640 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 144849968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284350706640).

144849968640 is an abundant number, since it is smaller than the sum of its proper divisors (423851444640).

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

144849968640 is a wasteful number, since it uses less digits than its factorization.

144849968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25514 (or 25495 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 144849968640 in words is "one hundred forty-four billion, eight hundred forty-nine million, nine hundred sixty-eight thousand, six hundred forty".