144438860160 has 576 divisors, whose sum is σ = 581848375680. Its totient is φ = 32920731648.

The previous prime is 144438860089. The next prime is 144438860207. The reversal of 144438860160 is 61068834441.

144438860160 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 38 + 8 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 167367889 + ... + 167368751.

It is an arithmetic number, because the mean of its divisors is an integer number (1010153430).

Almost surely, 2^144438860160 is an apocalyptic number.

144438860160 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 144438860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290924187840).

144438860160 is an abundant number, since it is smaller than the sum of its proper divisors (437409515520).

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

144438860160 is a wasteful number, since it uses less digits than its factorization.

144438860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 144438860160 in words is "one hundred forty-four billion, four hundred thirty-eight million, eight hundred sixty thousand, one hundred sixty".