2199885206401 has 27 divisors (see below), whose sum is σ = 2341471657539. Its totient is φ = 2066680407792.

The previous prime is 2199885206369. The next prime is 2199885206411. The reversal of 2199885206401 is 1046025889912.

The square root of 2199885206401 is 1483201.

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., 2167799799025 + 32085407376 = 1472345^2 + 179124^2 .

It is not a de Polignac number, because 2199885206401 - 2⁵ = 2199885206369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2199885206411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2012703211 + ... + 2012704303.

Almost surely, 2^{2199885206401} is an apocalyptic number.

2199885206401 is the 1483201-st square number.

2199885206401 is the 741601-st centered octagonal number.

It is an amenable number.

2199885206401 is a deficient number, since it is larger than the sum of its proper divisors (141586451138).

2199885206401 is an frugal number, since it uses more digits than its factorization.

2199885206401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 2199885206401 in words is "two trillion, one hundred ninety-nine billion, eight hundred eighty-five million, two hundred six thousand, four hundred one".