6369712821241 has 81 divisors (see below), whose sum is σ = 8276037853293. Its totient is φ = 4884517693440.

The previous prime is 6369712821233. The next prime is 6369712821257. The reversal of 6369712821241 is 1421282179636.

The square root of 6369712821241 is 2523829.

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 203947076025 + 6165765745216 = 451605^2 + 2483096^2 .

It is not a de Polignac number, because 6369712821241 - 2³ = 6369712821233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6369712881241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14186442585 + ... + 14186443033.

Almost surely, 2^{6369712821241} is an apocalyptic number.

6369712821241 is the 2523829-th square number.

6369712821241 is the 1261915-th centered octagonal number.

It is an amenable number.

6369712821241 is a deficient number, since it is larger than the sum of its proper divisors (1906325032052).

6369712821241 is an frugal number, since it uses more digits than its factorization.

6369712821241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 540 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The spelling of 6369712821241 in words is "six trillion, three hundred sixty-nine billion, seven hundred twelve million, eight hundred twenty-one thousand, two hundred forty-one".