2200225116641 has 8 divisors (see below), whose sum is σ = 2261653945344. Its totient is φ = 2138899618800.

The previous prime is 2200225116601. The next prime is 2200225116647. The reversal of 2200225116641 is 1466115220022.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2200225116641 - 2¹⁴ = 2200225100257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2200225116598 and 2200225116607.

It is not an unprimeable number, because it can be changed into a prime (2200225116647) 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 in 7 ways as a sum of consecutive naturals, for example, 25789535 + ... + 25874708.

It is an arithmetic number, because the mean of its divisors is an integer number (282706743168).

Almost surely, 2^{2200225116641} is an apocalyptic number.

It is an amenable number.

2200225116641 is a deficient number, since it is larger than the sum of its proper divisors (61428828703).

2200225116641 is a wasteful number, since it uses less digits than its factorization.

2200225116641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51665431.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 2200225116641 in words is "two trillion, two hundred billion, two hundred twenty-five million, one hundred sixteen thousand, six hundred forty-one".