144149571456 has 384 divisors, whose sum is σ = 450959201280. Its totient is φ = 40415232000.

The previous prime is 144149571451. The next prime is 144149571457. The reversal of 144149571456 is 654175941441.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 144149571399 and 144149571408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144149571451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69268336 + ... + 69270416.

It is an arithmetic number, because the mean of its divisors is an integer number (1174372920).

Almost surely, 2^144149571456 is an apocalyptic number.

144149571456 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 144149571456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225479600640).

144149571456 is an abundant number, since it is smaller than the sum of its proper divisors (306809629824).

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

144149571456 is a wasteful number, since it uses less digits than its factorization.

144149571456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2151 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 144149571456 in words is "one hundred forty-four billion, one hundred forty-nine million, five hundred seventy-one thousand, four hundred fifty-six".