144201397856 has 96 divisors (see below), whose sum is σ = 307396881792. Its totient is φ = 66328084480.

The previous prime is 144201397787. The next prime is 144201397859. The reversal of 144201397856 is 658793102441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144201397859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21908486 + ... + 21915066.

It is an arithmetic number, because the mean of its divisors is an integer number (3202050852).

It is a 1-persistent number, because it is pandigital, but 2⋅144201397856 = 288402795712 is not.

Almost surely, 2^144201397856 is an apocalyptic number.

144201397856 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 144201397856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153698440896).

144201397856 is an abundant number, since it is smaller than the sum of its proper divisors (163195483936).

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

144201397856 is a wasteful number, since it uses less digits than its factorization.

144201397856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 144201397856 in words is "one hundred forty-four billion, two hundred one million, three hundred ninety-seven thousand, eight hundred fifty-six".