6562944144 has 135 divisors (see below), whose sum is σ = 18924739353. Its totient is φ = 2123162496.

The previous prime is 6562944137. The next prime is 6562944229. The reversal of 6562944144 is 4414492656.

The square root of 6562944144 is 81012.

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

6562944144 is a `hidden beast` number, since 6 + 5 + 629 + 4 + 4 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1923699600 + 4639244544 = 43860^2 + 68112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6562944144.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41802114 + ... + 41802270.

Almost surely, 2^6562944144 is an apocalyptic number.

6562944144 is the 81012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6562944144

6562944144 is an abundant number, since it is smaller than the sum of its proper divisors (12361795209).

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

6562944144 is a wasteful number, since it uses less digits than its factorization.

6562944144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The cubic root of 6562944144 is about 1872.2603325215.

The spelling of 6562944144 in words is "six billion, five hundred sixty-two million, nine hundred forty-four thousand, one hundred forty-four".