4564488721 has 9 divisors (see below), whose sum is σ = 4943563281. Its totient is φ = 4212563472.

The previous prime is 4564488689. The next prime is 4564488751. The reversal of 4564488721 is 1278844654.

It is a happy number.

The square root of 4564488721 is 67561.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 804346321 + 3760142400 = 28361^2 + 61320^2 .

It is not a de Polignac number, because 4564488721 - 2⁵ = 4564488689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4564488751) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 875695 + ... + 880891.

It is an arithmetic number, because the mean of its divisors is an integer number (549284809).

Almost surely, 2^4564488721 is an apocalyptic number.

4564488721 is the 67561-st square number.

4564488721 is the 33781-st centered octagonal number.

It is an amenable number.

4564488721 is a deficient number, since it is larger than the sum of its proper divisors (379074560).

4564488721 is an frugal number, since it uses more digits than its factorization.

4564488721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420 (or 5210 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 49.

The cubic root of 4564488721 is about 1658.8128058877.

Multiplying 4564488721 by its sum of digits (49), we get a square (223659947329 = 472927²).

The spelling of 4564488721 in words is "four billion, five hundred sixty-four million, four hundred eighty-eight thousand, seven hundred twenty-one".