6442413552481 has 45 divisors (see below), whose sum is σ = 6965749401891. Its totient is φ = 5958372914208.

The previous prime is 6442413552469. The next prime is 6442413552503. The reversal of 6442413552481 is 1842553142446.

The square root of 6442413552481 is 2538191.

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

It can be written as a sum of positive squares in only one way, i.e., 1237080042081 + 5205333510400 = 1112241^2 + 2281520^2 .

It is not a de Polignac number, because 6442413552481 - 2³¹ = 6440266068833 is a prime.

It is a super-2 number, since 2×6442413552481² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6442413552451) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72386669085 + ... + 72386669173.

Almost surely, 2^{6442413552481} is an apocalyptic number.

6442413552481 is the 2538191-st square number.

6442413552481 is the 1269096-th centered octagonal number.

It is an amenable number.

6442413552481 is a deficient number, since it is larger than the sum of its proper divisors (523335849410).

6442413552481 is an frugal number, since it uses more digits than its factorization.

6442413552481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 187 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 49.

Multiplying 6442413552481 by its sum of digits (49), we get a square (315678264071569 = 17767337²).

The spelling of 6442413552481 in words is "six trillion, four hundred forty-two billion, four hundred thirteen million, five hundred fifty-two thousand, four hundred eighty-one".