144449427816 has 256 divisors, whose sum is σ = 437923584000. Its totient is φ = 43962600960.

The previous prime is 144449427809. The next prime is 144449427851. The reversal of 144449427816 is 618724944441.

144449427816 is a `hidden beast` number, since 14 + 44 + 494 + 27 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13960741 + ... + 13971083.

It is an arithmetic number, because the mean of its divisors is an integer number (1710639000).

Almost surely, 2^144449427816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144449427816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218961792000).

144449427816 is an abundant number, since it is smaller than the sum of its proper divisors (293474156184).

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

144449427816 is a wasteful number, since it uses less digits than its factorization.

144449427816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501 (or 10491 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 144449427816 in words is "one hundred forty-four billion, four hundred forty-nine million, four hundred twenty-seven thousand, eight hundred sixteen".