2217648137329 has 3 divisors (see below), whose sum is σ = 2217649626507. Its totient is φ = 2217646648152.

The previous prime is 2217648137273. The next prime is 2217648137413. The reversal of 2217648137329 is 9237318467122.

The square root of 2217648137329 is 1489177.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 395018535025 + 1822629602304 = 628505^2 + 1350048^2 .

It is not a de Polignac number, because 2217648137329 - 2²⁹ = 2217111266417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2217648137329.

It is not an unprimeable number, because it can be changed into a prime (2217648131329) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 744589 + ... + 2233765.

It is an arithmetic number, because the mean of its divisors is an integer number (739216542169).

Almost surely, 2^{2217648137329} is an apocalyptic number.

2217648137329 is the 1489177-th square number.

2217648137329 is the 744589-th centered octagonal number.

It is an amenable number.

2217648137329 is a deficient number, since it is larger than the sum of its proper divisors (1489178).

2217648137329 is an frugal number, since it uses more digits than its factorization.

2217648137329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978354 (or 1489177 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 55.

The spelling of 2217648137329 in words is "two trillion, two hundred seventeen billion, six hundred forty-eight million, one hundred thirty-seven thousand, three hundred twenty-nine".