144496406880 has 576 divisors, whose sum is σ = 617281741440. Its totient is φ = 30012014592.

The previous prime is 144496406867. The next prime is 144496406891. The reversal of 144496406880 is 88604694441.

144496406880 is a `hidden beast` number, since 1 + 4 + 449 + 64 + 0 + 68 + 80 = 666.

It is a super-3 number, since 3×144496406880³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4954902 + ... + 4983978.

It is an arithmetic number, because the mean of its divisors is an integer number (1071669690).

Almost surely, 2^144496406880 is an apocalyptic number.

144496406880 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 144496406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308640870720).

144496406880 is an abundant number, since it is smaller than the sum of its proper divisors (472785334560).

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

144496406880 is a wasteful number, since it uses less digits than its factorization.

144496406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29151 (or 29140 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 144496406880 in words is "one hundred forty-four billion, four hundred ninety-six million, four hundred six thousand, eight hundred eighty".