144484910454528 has 432 divisors, whose sum is σ = 489184175031552. Its totient is φ = 40152803328000.

The previous prime is 144484910454389. The next prime is 144484910454539. The reversal of 144484910454528 is 825454019484441.

144484910454528 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 8 + 49 + 10 + 4 + 54 + 528 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218543023 + ... + 219203153.

It is an arithmetic number, because the mean of its divisors is an integer number (1132370775536).

Almost surely, 2^{144484910454528} is an apocalyptic number.

144484910454528 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 144484910454528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244592087515776).

144484910454528 is an abundant number, since it is smaller than the sum of its proper divisors (344699264577024).

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

144484910454528 is a wasteful number, since it uses less digits than its factorization.

144484910454528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660532 (or 660515 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 144484910454528 in words is "one hundred forty-four trillion, four hundred eighty-four billion, nine hundred ten million, four hundred fifty-four thousand, five hundred twenty-eight".