9671345649 has 75 divisors (see below), whose sum is σ = 16930120713. Its totient is φ = 5501700792.

The previous prime is 9671345641. The next prime is 9671345653. The reversal of 9671345649 is 9465431769.

The square root of 9671345649 is 98343.

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

9671345649 is a `hidden beast` number, since 9 + 6 + 71 + 3 + 4 + 564 + 9 = 666.

It is not a de Polignac number, because 9671345649 - 2³ = 9671345641 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (4898880) is a multiple of the sum of its prime factors (486).

It is a junction number, because it is equal to n+sod(n) for n = 9671345595 and 9671345604.

It is not an unprimeable number, because it can be changed into a prime (9671345641) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 43369152 + ... + 43369374.

Almost surely, 2^9671345649 is an apocalyptic number.

9671345649 is the 98343-rd square number.

9671345649 is the 49172-nd centered octagonal number.

It is an amenable number.

9671345649 is a deficient number, since it is larger than the sum of its proper divisors (7258775064).

9671345649 is an frugal number, since it uses more digits than its factorization.

9671345649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 233 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The cubic root of 9671345649 is about 2130.5691535972.

The spelling of 9671345649 in words is "nine billion, six hundred seventy-one million, three hundred forty-five thousand, six hundred forty-nine".