217121146349 has 8 divisors (see below), whose sum is σ = 224782371000. Its totient is φ = 209471540992.

The previous prime is 217121146327. The next prime is 217121146387. The reversal of 217121146349 is 943641121712.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49647861124 + 167473285225 = 222818^2 + 409235^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 217121146349 - 2¹² = 217121142253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217121146049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2866784 + ... + 2941545.

It is an arithmetic number, because the mean of its divisors is an integer number (28097796375).

Almost surely, 2^217121146349 is an apocalyptic number.

217121146349 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

217121146349 is a deficient number, since it is larger than the sum of its proper divisors (7661224651).

217121146349 is a wasteful number, since it uses less digits than its factorization.

217121146349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809647.

The product of its digits is 72576, while the sum is 41.

The spelling of 217121146349 in words is "two hundred seventeen billion, one hundred twenty-one million, one hundred forty-six thousand, three hundred forty-nine".