202191417649 has 9 divisors (see below), whose sum is σ = 218947332513. Its totient is φ = 186632835792.

The previous prime is 202191417647. The next prime is 202191417671. The reversal of 202191417649 is 946714191202.

The square root of 202191417649 is 449657.

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 168933330225 + 33258087424 = 411015^2 + 182368^2 .

It is not a de Polignac number, because 202191417649 - 2¹ = 202191417647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202191417599 and 202191417608.

It is not an unprimeable number, because it can be changed into a prime (202191417641) 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 8 ways as a sum of consecutive naturals, for example, 5828247 + ... + 5862835.

Almost surely, 2^202191417649 is an apocalyptic number.

202191417649 is the 449657-th square number.

202191417649 is the 224829-th centered octagonal number.

It is an amenable number.

202191417649 is a deficient number, since it is larger than the sum of its proper divisors (16755914864).

202191417649 is an frugal number, since it uses more digits than its factorization.

202191417649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69204 (or 34602 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 202191417649 in words is "two hundred two billion, one hundred ninety-one million, four hundred seventeen thousand, six hundred forty-nine".