144004104864 has 72 divisors (see below), whose sum is σ = 409550293152. Its totient is φ = 47996841600.

The previous prime is 144004104857. The next prime is 144004104869. The reversal of 144004104864 is 468401400441.

144004104864 is a `hidden beast` number, since 144 + 0 + 0 + 410 + 48 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144004104869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4622139 + ... + 4653189.

It is an arithmetic number, because the mean of its divisors is an integer number (5688198516).

Almost surely, 2^144004104864 is an apocalyptic number.

It is an amenable number.

144004104864 is an abundant number, since it is smaller than the sum of its proper divisors (265546188288).

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

144004104864 is a wasteful number, since it uses less digits than its factorization.

144004104864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47170 (or 47159 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 144004104864 in words is "one hundred forty-four billion, four million, one hundred four thousand, eight hundred sixty-four".