2648362409641 has 9 divisors (see below), whose sum is σ = 2867776287159. Its totient is φ = 2444622695736.

The previous prime is 2648362409621. The next prime is 2648362409647. The reversal of 2648362409641 is 1469042638462.

It is a happy number.

The square root of 2648362409641 is 1627379.

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., 391769587225 + 2256592822416 = 625915^2 + 1502196^2 .

It is not a de Polignac number, because 2648362409641 - 2¹³ = 2648362401449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2648362409647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21093336 + ... + 21218518.

Almost surely, 2^{2648362409641} is an apocalyptic number.

2648362409641 is the 1627379-th square number.

2648362409641 is the 813690-th centered octagonal number.

It is an amenable number.

2648362409641 is a deficient number, since it is larger than the sum of its proper divisors (219413877518).

2648362409641 is an frugal number, since it uses more digits than its factorization.

2648362409641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250392 (or 125196 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 55.

The spelling of 2648362409641 in words is "two trillion, six hundred forty-eight billion, three hundred sixty-two million, four hundred nine thousand, six hundred forty-one".