144865068384960 has 2016 divisors, whose sum is σ = 685090672561152. Its totient is φ = 27672055971840.

The previous prime is 144865068384941. The next prime is 144865068384989. The reversal of 144865068384960 is 69483860568441.

It is a happy number.

144865068384960 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 6 + 50 + 6 + 83 + 8 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1134682089 + ... + 1134809751.

Almost surely, 2^{144865068384960} is an apocalyptic number.

144865068384960 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 144865068384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342545336280576).

144865068384960 is an abundant number, since it is smaller than the sum of its proper divisors (540225604176192).

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

144865068384960 is a wasteful number, since it uses less digits than its factorization.

144865068384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127771 (or 127751 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 144865068384960 in words is "one hundred forty-four trillion, eight hundred sixty-five billion, sixty-eight million, three hundred eighty-four thousand, nine hundred sixty".