4632993648721 has 9 divisors (see below), whose sum is σ = 4689666207579. Its totient is φ = 4576997948136.

The previous prime is 4632993648707. The next prime is 4632993648799. The reversal of 4632993648721 is 1278463992364.

The square root of 4632993648721 is 2152439.

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

It can be written as a sum of positive squares in only one way, i.e., 1017808588225 + 3615185060496 = 1008865^2 + 1901364^2 .

It is not a de Polignac number, because 4632993648721 - 2⁹ = 4632993648209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4632993648121) 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, 178639471 + ... + 178665403.

Almost surely, 2^{4632993648721} is an apocalyptic number.

4632993648721 is the 2152439-th square number.

4632993648721 is the 1076220-th centered octagonal number.

It is an amenable number.

4632993648721 is a deficient number, since it is larger than the sum of its proper divisors (56672558858).

4632993648721 is an frugal number, since it uses more digits than its factorization.

4632993648721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52032 (or 26016 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 64.

Multiplying 4632993648721 by its sum of digits (64), we get a square (296511593518144 = 17219512²).

The spelling of 4632993648721 in words is "four trillion, six hundred thirty-two billion, nine hundred ninety-three million, six hundred forty-eight thousand, seven hundred twenty-one".