4449564141201 has 81 divisors (see below), whose sum is σ = 7095378163419. Its totient is φ = 2686395564864.

The previous prime is 4449564141199. The next prime is 4449564141203. The reversal of 4449564141201 is 1021414659444.

The square root of 4449564141201 is 2109399.

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

4449564141201 is a `hidden beast` number, since 4 + 4 + 49 + 564 + 1 + 41 + 2 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4449564141199) and next prime (4449564141203).

It can be written as a sum of positive squares in only one way, i.e., 4350565811601 + 98998329600 = 2085801^2 + 314640^2 .

It is not a de Polignac number, because 4449564141201 - 2¹ = 4449564141199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4449564141203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2765421285 + ... + 2765422893.

Almost surely, 2^{4449564141201} is an apocalyptic number.

4449564141201 is the 2109399-th square number.

4449564141201 is the 1054700-th centered octagonal number.

It is an amenable number.

4449564141201 is a deficient number, since it is larger than the sum of its proper divisors (2645814022218).

4449564141201 is an equidigital number, since it uses as much as digits as its factorization.

4449564141201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4449564141201 in words is "four trillion, four hundred forty-nine billion, five hundred sixty-four million, one hundred forty-one thousand, two hundred one".