144169344864 has 144 divisors (see below), whose sum is σ = 437023641600. Its totient is φ = 44950733568.

The previous prime is 144169344853. The next prime is 144169344871. The reversal of 144169344864 is 468443961441.

144169344864 is a `hidden beast` number, since 1 + 44 + 16 + 93 + 448 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 144169344864.

It is a congruent number.

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, 265537 + ... + 599039.

It is an arithmetic number, because the mean of its divisors is an integer number (3034886400).

Almost surely, 2^144169344864 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 144169344864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218511820800).

144169344864 is an abundant number, since it is smaller than the sum of its proper divisors (292854296736).

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

144169344864 is a wasteful number, since it uses less digits than its factorization.

144169344864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333617 (or 333606 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 144169344864 in words is "one hundred forty-four billion, one hundred sixty-nine million, three hundred forty-four thousand, eight hundred sixty-four".