144250854120384 has 224 divisors, whose sum is σ = 419413007849472. Its totient is φ = 43392766464000.

The previous prime is 144250854120383. The next prime is 144250854120389. The reversal of 144250854120384 is 483021458052441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144250854120383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212586769 + ... + 213264239.

It is an arithmetic number, because the mean of its divisors is an integer number (1872379499328).

Almost surely, 2^{144250854120384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144250854120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209706503924736).

144250854120384 is an abundant number, since it is smaller than the sum of its proper divisors (275162153729088).

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

144250854120384 is a wasteful number, since it uses less digits than its factorization.

144250854120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678235 (or 678225 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 51.

The spelling of 144250854120384 in words is "one hundred forty-four trillion, two hundred fifty billion, eight hundred fifty-four million, one hundred twenty thousand, three hundred eighty-four".