41664455949601 has 3 divisors (see below), whose sum is σ = 41664462404403. Its totient is φ = 41664449494800.

The previous prime is 41664455949577. The next prime is 41664455949679. The reversal of 41664455949601 is 10694955446614.

It is a happy number.

The square root of 41664455949601 is 6454801.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 37152060372001 + 4512395577600 = 6095249^2 + 2124240^2 .

It is not a de Polignac number, because 41664455949601 - 2⁵ = 41664455949569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41664455949691) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3227401 + ... + 9682201.

It is an arithmetic number, because the mean of its divisors is an integer number (13888154134801).

Almost surely, 2^{41664455949601} is an apocalyptic number.

41664455949601 is the 6454801-st square number.

41664455949601 is the 3227401-st centered octagonal number.

It is an amenable number.

41664455949601 is a deficient number, since it is larger than the sum of its proper divisors (6454802).

41664455949601 is an frugal number, since it uses more digits than its factorization.

41664455949601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12909602 (or 6454801 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 64.

The spelling of 41664455949601 in words is "forty-one trillion, six hundred sixty-four billion, four hundred fifty-five million, nine hundred forty-nine thousand, six hundred one".