144144142848 has 120 divisors (see below), whose sum is σ = 417845430288. Its totient is φ = 47836035072.

The previous prime is 144144142847. The next prime is 144144142889. The reversal of 144144142848 is 848241441441.

144144142848 is a `hidden beast` number, since 1 + 44 + 144 + 1 + 428 + 48 = 666.

It is a super-2 number, since 2×144144142848² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144144142843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 977115 + ... + 1114917.

Almost surely, 2^144144142848 is an apocalyptic number.

144144142848 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 144144142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208922715144).

144144142848 is an abundant number, since it is smaller than the sum of its proper divisors (273701287440).

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

144144142848 is a wasteful number, since it uses less digits than its factorization.

144144142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138054 (or 138035 counting only the distinct ones).

The product of its digits is 524288, while the sum is 45.

The spelling of 144144142848 in words is "one hundred forty-four billion, one hundred forty-four million, one hundred forty-two thousand, eight hundred forty-eight".