4576086144 has 512 divisors, whose sum is σ = 16286054400. Its totient is φ = 1237856256.

The previous prime is 4576086143. The next prime is 4576086149. The reversal of 4576086144 is 4416806754.

It is a self number, because there is not a number n which added to its sum of digits gives 4576086144.

It is not an unprimeable number, because it can be changed into a prime (4576086143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55133527 + ... + 55133609.

It is an arithmetic number, because the mean of its divisors is an integer number (31808700).

Almost surely, 2^4576086144 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 4576086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8143027200).

4576086144 is an abundant number, since it is smaller than the sum of its proper divisors (11709968256).

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

4576086144 is a wasteful number, since it uses less digits than its factorization.

4576086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4576086144 is about 67646.7748233425. The cubic root of 4576086144 is about 1660.2165179425.

The spelling of 4576086144 in words is "four billion, five hundred seventy-six million, eighty-six thousand, one hundred forty-four".