6631248164641 has 9 divisors (see below), whose sum is σ = 6640606459281. Its totient is φ = 6621903050532.

The previous prime is 6631248164623. The next prime is 6631248164711. The reversal of 6631248164641 is 1464618421366.

The square root of 6631248164641 is 2575121.

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

It is not a de Polignac number, because 6631248164641 - 2⁹ = 6631248164129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6631248164621) 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, 2490140676 + ... + 2490143338.

Almost surely, 2^{6631248164641} is an apocalyptic number.

6631248164641 is the 2575121-st square number.

6631248164641 is the 1287561-st centered octagonal number.

It is an amenable number.

6631248164641 is a deficient number, since it is larger than the sum of its proper divisors (9358294640).

6631248164641 is an frugal number, since it uses more digits than its factorization.

6631248164641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260 (or 3630 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 52.

The spelling of 6631248164641 in words is "six trillion, six hundred thirty-one billion, two hundred forty-eight million, one hundred sixty-four thousand, six hundred forty-one".