144505530504144 has 60 divisors (see below), whose sum is σ = 404555255020800. Its totient is φ = 48151779043392.

The previous prime is 144505530504133. The next prime is 144505530504149. The reversal of 144505530504144 is 441405035505441.

144505530504144 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 0 + 553 + 0 + 50 + 4 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144505530504144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144505530504149) 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, 173866534 + ... + 174695685.

It is an arithmetic number, because the mean of its divisors is an integer number (6742587583680).

Almost surely, 2^{144505530504144} is an apocalyptic number.

It is an amenable number.

144505530504144 is an abundant number, since it is smaller than the sum of its proper divisors (260049724516656).

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

144505530504144 is a wasteful number, since it uses less digits than its factorization.

144505530504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348565112 (or 348565103 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 144505530504144 in words is "one hundred forty-four trillion, five hundred five billion, five hundred thirty million, five hundred four thousand, one hundred forty-four".