144915644448 has 288 divisors, whose sum is σ = 436555671552. Its totient is φ = 45530726400.

The previous prime is 144915644353. The next prime is 144915644449. The reversal of 144915644448 is 844446519441.

144915644448 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 156 + 44 + 448 = 666.

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

It is a super-5 number, since 5×144915644448⁵ (a number of 57 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144915644394 and 144915644403.

It is not an unprimeable number, because it can be changed into a prime (144915644449) 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, 101126740 + ... + 101128172.

It is an arithmetic number, because the mean of its divisors is an integer number (1515818304).

Almost surely, 2^144915644448 is an apocalyptic number.

144915644448 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 144915644448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218277835776).

144915644448 is an abundant number, since it is smaller than the sum of its proper divisors (291640027104).

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

144915644448 is a wasteful number, since it uses less digits than its factorization.

144915644448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1757 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 144915644448 in words is "one hundred forty-four billion, nine hundred fifteen million, six hundred forty-four thousand, four hundred forty-eight".