3644641217153 has 2 divisors, whose sum is σ = 3644641217154. Its totient is φ = 3644641217152.

The previous prime is 3644641217141. The next prime is 3644641217167. The reversal of 3644641217153 is 3517121464463.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2576628515344 + 1068012701809 = 1605188^2 + 1033447^2 .

It is a cyclic number.

It is not a de Polignac number, because 3644641217153 - 2²⁰ = 3644640168577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3644641217098 and 3644641217107.

It is not a weakly prime, because it can be changed into another prime (3644641297153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1822320608576 + 1822320608577.

It is an arithmetic number, because the mean of its divisors is an integer number (1822320608577).

Almost surely, 2^{3644641217153} is an apocalyptic number.

It is an amenable number.

3644641217153 is a deficient number, since it is larger than the sum of its proper divisors (1).

3644641217153 is an equidigital number, since it uses as much as digits as its factorization.

3644641217153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1451520, while the sum is 47.

The spelling of 3644641217153 in words is "three trillion, six hundred forty-four billion, six hundred forty-one million, two hundred seventeen thousand, one hundred fifty-three".