4504608144 has 60 divisors (see below), whose sum is σ = 13154771136. Its totient is φ = 1436250816.

The previous prime is 4504608127. The next prime is 4504608149. The reversal of 4504608144 is 4418064054.

It is a happy number.

4504608144 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 608 + 1 + 44 = 666.

It is a super-2 number, since 2×4504608144² = 40582989061982249472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4504608099 and 4504608108.

It is not an unprimeable number, because it can be changed into a prime (4504608149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676732 + ... + 683355.

Almost surely, 2^4504608144 is an apocalyptic number.

It is an amenable number.

4504608144 is an abundant number, since it is smaller than the sum of its proper divisors (8650162992).

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

4504608144 is a wasteful number, since it uses less digits than its factorization.

4504608144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360124 (or 1360115 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4504608144 is about 67116.3776138135. The cubic root of 4504608144 is about 1651.5269787209.

The spelling of 4504608144 in words is "four billion, five hundred four million, six hundred eight thousand, one hundred forty-four".