4672605347641 has 81 divisors (see below), whose sum is σ = 6079548206277. Its totient is φ = 3578088008880.

The previous prime is 4672605347639. The next prime is 4672605347659. The reversal of 4672605347641 is 1467435062764.

It is a happy number.

The square root of 4672605347641 is 2161621.

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

4672605347641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4672605347641 - 2¹ = 4672605347639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4672605347671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11151802530 + ... + 11151802948.

Almost surely, 2^{4672605347641} is an apocalyptic number.

4672605347641 is the 2161621-st square number.

4672605347641 is the 1080811-st centered octagonal number.

It is an amenable number.

4672605347641 is a deficient number, since it is larger than the sum of its proper divisors (1406942858636).

4672605347641 is an frugal number, since it uses more digits than its factorization.

4672605347641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 55.

The spelling of 4672605347641 in words is "four trillion, six hundred seventy-two billion, six hundred five million, three hundred forty-seven thousand, six hundred forty-one".