144884009952 has 432 divisors, whose sum is σ = 480742778880. Its totient is φ = 41242037760.

The previous prime is 144884009951. The next prime is 144884009969. The reversal of 144884009952 is 259900488441.

It is a happy number.

144884009952 is a `hidden beast` number, since 144 + 8 + 8 + 400 + 9 + 95 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144884009951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84087363 + ... + 84089085.

Almost surely, 2^144884009952 is an apocalyptic number.

144884009952 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 144884009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240371389440).

144884009952 is an abundant number, since it is smaller than the sum of its proper divisors (335858768928).

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

144884009952 is a wasteful number, since it uses less digits than its factorization.

144884009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 144884009952 in words is "one hundred forty-four billion, eight hundred eighty-four million, nine thousand, nine hundred fifty-two".