144285861888 has 288 divisors, whose sum is σ = 482811638400. Its totient is φ = 40657158144.

The previous prime is 144285861877. The next prime is 144285861901. The reversal of 144285861888 is 888168582441.

144285861888 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 8 + 5 + 8 + 618 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9411093 + ... + 9426411.

It is an arithmetic number, because the mean of its divisors is an integer number (1676429300).

Almost surely, 2^144285861888 is an apocalyptic number.

144285861888 is a gapful number since it is divisible by the number (18) 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 144285861888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241405819200).

144285861888 is an abundant number, since it is smaller than the sum of its proper divisors (338525776512).

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

144285861888 is a wasteful number, since it uses less digits than its factorization.

144285861888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15427 (or 15404 counting only the distinct ones).

The product of its digits is 31457280, while the sum is 63.

The spelling of 144285861888 in words is "one hundred forty-four billion, two hundred eighty-five million, eight hundred sixty-one thousand, eight hundred eighty-eight".