144326781072 has 200 divisors, whose sum is σ = 437024028672. Its totient is φ = 45936115200.

The previous prime is 144326781029. The next prime is 144326781077. The reversal of 144326781072 is 270187623441.

144326781072 is a `hidden beast` number, since 1 + 443 + 2 + 67 + 81 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (144326781077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2468497 + ... + 2526287.

Almost surely, 2^144326781072 is an apocalyptic number.

144326781072 is a gapful number since it is divisible by the number (12) 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 144326781072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218512014336).

144326781072 is an abundant number, since it is smaller than the sum of its proper divisors (292697247600).

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

144326781072 is a wasteful number, since it uses less digits than its factorization.

144326781072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57899 (or 57884 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 144326781072 in words is "one hundred forty-four billion, three hundred twenty-six million, seven hundred eighty-one thousand, seventy-two".