217264288262401 has 16 divisors (see below), whose sum is σ = 219172278435840. Its totient is φ = 215359404825600.

The previous prime is 217264288262341. The next prime is 217264288262419. The reversal of 217264288262401 is 104262882462712.

It is a cyclic number.

It is not a de Polignac number, because 217264288262401 - 2²¹ = 217264286165249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217264288262471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2752615305 + ... + 2752694233.

It is an arithmetic number, because the mean of its divisors is an integer number (13698267402240).

Almost surely, 2^{217264288262401} is an apocalyptic number.

It is an amenable number.

217264288262401 is a deficient number, since it is larger than the sum of its proper divisors (1907990173439).

217264288262401 is a wasteful number, since it uses less digits than its factorization.

217264288262401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98304.

The product of its (nonzero) digits is 8257536, while the sum is 55.

The spelling of 217264288262401 in words is "two hundred seventeen trillion, two hundred sixty-four billion, two hundred eighty-eight million, two hundred sixty-two thousand, four hundred one".