217164225939049 has 9 divisors (see below), whose sum is σ = 217369743666309. Its totient is φ = 216958902382080.

The previous prime is 217164225939041. The next prime is 217164225939061. The reversal of 217164225939049 is 940939522461712.

The square root of 217164225939049 is 14736493.

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

It can be written as a sum of positive squares in 4 ways, for example, as 60877523784025 + 156286702155024 = 7802405^2 + 12501468^2 .

It is not a de Polignac number, because 217164225939049 - 2³ = 217164225939041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217164225939041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16991170039 + ... + 16991182819.

It is an arithmetic number, because the mean of its divisors is an integer number (24152193740701).

Almost surely, 2^{217164225939049} is an apocalyptic number.

217164225939049 is the 14736493-rd square number.

217164225939049 is the 7368247-th centered octagonal number.

It is an amenable number.

217164225939049 is a deficient number, since it is larger than the sum of its proper divisors (205517727260).

217164225939049 is an frugal number, since it uses more digits than its factorization.

217164225939049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27868 (or 13934 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 217164225939049 in words is "two hundred seventeen trillion, one hundred sixty-four billion, two hundred twenty-five million, nine hundred thirty-nine thousand, forty-nine".