144071364384 has 144 divisors (see below), whose sum is σ = 414681845760. Its totient is φ = 47443415040.

The previous prime is 144071364373. The next prime is 144071364401. The reversal of 144071364384 is 483463170441.

144071364384 is a `hidden beast` number, since 1 + 440 + 71 + 3 + 64 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8733424 + ... + 8749904.

It is an arithmetic number, because the mean of its divisors is an integer number (2879735040).

Almost surely, 2^144071364384 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 144071364384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207340922880).

144071364384 is an abundant number, since it is smaller than the sum of its proper divisors (270610481376).

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

144071364384 is a wasteful number, since it uses less digits than its factorization.

144071364384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16863 (or 16852 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 144071364384 in words is "one hundred forty-four billion, seventy-one million, three hundred sixty-four thousand, three hundred eighty-four".