144159722784 has 576 divisors, whose sum is σ = 538867510272. Its totient is φ = 36820915200.

The previous prime is 144159722753. The next prime is 144159722813. The reversal of 144159722784 is 487227951441.

It is a happy number.

144159722784 is a `hidden beast` number, since 1 + 4 + 41 + 597 + 2 + 2 + 7 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144159722784.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36521899 + ... + 36525845.

It is an arithmetic number, because the mean of its divisors is an integer number (935533872).

Almost surely, 2^144159722784 is an apocalyptic number.

144159722784 is a gapful number since it is divisible by the number (14) 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 144159722784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269433755136).

144159722784 is an abundant number, since it is smaller than the sum of its proper divisors (394707787488).

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

144159722784 is a wasteful number, since it uses less digits than its factorization.

144159722784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4031 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 144159722784 in words is "one hundred forty-four billion, one hundred fifty-nine million, seven hundred twenty-two thousand, seven hundred eighty-four".