144648921231360 has 4992 divisors, whose sum is σ = 678356340480000. Its totient is φ = 28241962205184.

The previous prime is 144648921231323. The next prime is 144648921231407. The reversal of 144648921231360 is 63132129846441.

144648921231360 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 48 + 9 + 2 + 1 + 231 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a junction number, because it is equal to n+sod(n) for n = 144648921231297 and 144648921231306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 921330708402 + ... + 921330708558.

It is an arithmetic number, because the mean of its divisors is an integer number (135888690000).

Almost surely, 2^{144648921231360} is an apocalyptic number.

144648921231360 is a gapful number since it is divisible by the number (10) 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 144648921231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339178170240000).

144648921231360 is an abundant number, since it is smaller than the sum of its proper divisors (533707419248640).

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

144648921231360 is a wasteful number, since it uses less digits than its factorization.

144648921231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 144648921231360 in words is "one hundred forty-four trillion, six hundred forty-eight billion, nine hundred twenty-one million, two hundred thirty-one thousand, three hundred sixty".