2208256152817 has 64 divisors (see below), whose sum is σ = 2851676835840. Its totient is φ = 1677993926400.

The previous prime is 2208256152803. The next prime is 2208256152859. The reversal of 2208256152817 is 7182516528022.

It is not a de Polignac number, because 2208256152817 - 2¹⁹ = 2208255628529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2208256152877) 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 63 ways as a sum of consecutive naturals, for example, 90412267 + ... + 90436687.

It is an arithmetic number, because the mean of its divisors is an integer number (44557450560).

Almost surely, 2^{2208256152817} is an apocalyptic number.

It is an amenable number.

2208256152817 is a deficient number, since it is larger than the sum of its proper divisors (643420683023).

2208256152817 is a wasteful number, since it uses less digits than its factorization.

2208256152817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25934.

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 2208256152817 in words is "two trillion, two hundred eight billion, two hundred fifty-six million, one hundred fifty-two thousand, eight hundred seventeen".