10633940641 has 9 divisors (see below), whose sum is σ = 10750799289. Its totient is φ = 10518342000.

The previous prime is 10633940599. The next prime is 10633940683. The reversal of 10633940641 is 14604933601.

The square root of 10633940641 is 103121.

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

10633940641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10633940599) and next prime (10633940683).

It can be written as a sum of positive squares in 4 ways, for example, as 4085894241 + 6548046400 = 63921^2 + 80920^2 .

It is not a de Polignac number, because 10633940641 - 2²⁷ = 10499722913 is a prime.

It is a super-2 number, since 2×10633940641² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10633940641.

It is not an unprimeable number, because it can be changed into a prime (10633940741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10414711 + ... + 10415731.

Almost surely, 2^10633940641 is an apocalyptic number.

10633940641 is the 103121-st square number.

10633940641 is the 51561-st centered octagonal number.

It is an amenable number.

10633940641 is a deficient number, since it is larger than the sum of its proper divisors (116858648).

10633940641 is an frugal number, since it uses more digits than its factorization.

10633940641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

Multiplying 10633940641 by its product of nonzero digits (46656), we get a square (496137134546496 = 22274136²).

The spelling of 10633940641 in words is "ten billion, six hundred thirty-three million, nine hundred forty thousand, six hundred forty-one".