4513608144 has 80 divisors (see below), whose sum is σ = 13054789440. Its totient is φ = 1493032320.

The previous prime is 4513608119. The next prime is 4513608163. The reversal of 4513608144 is 4418063154.

4513608144 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 608 + 1 + 44 = 666.

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 = 4513608099 and 4513608108.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16714 + ... + 96470.

It is an arithmetic number, because the mean of its divisors is an integer number (163184868).

Almost surely, 2^4513608144 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 4513608144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527394720).

4513608144 is an abundant number, since it is smaller than the sum of its proper divisors (8541181296).

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

4513608144 is a wasteful number, since it uses less digits than its factorization.

4513608144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79905 (or 79893 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4513608144 is about 67183.3918762666. The cubic root of 4513608144 is about 1652.6261386834.

The spelling of 4513608144 in words is "four billion, five hundred thirteen million, six hundred eight thousand, one hundred forty-four".