144162506304 has 84 divisors (see below), whose sum is σ = 413683118784. Its totient is φ = 47999822592.

The previous prime is 144162506239. The next prime is 144162506351. The reversal of 144162506304 is 403605261441.

144162506304 is a `hidden beast` number, since 1 + 4 + 4 + 16 + 2 + 5 + 0 + 630 + 4 = 666.

144162506304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369829 + ... + 651995.

Almost surely, 2^144162506304 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 144162506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841559392).

144162506304 is an abundant number, since it is smaller than the sum of its proper divisors (269520612480).

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

144162506304 is a wasteful number, since it uses less digits than its factorization.

144162506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283072 (or 283059 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 144162506304 its reverse (403605261441), we get a palindrome (547767767745).

The spelling of 144162506304 in words is "one hundred forty-four billion, one hundred sixty-two million, five hundred six thousand, three hundred four".