10505643464 has 16 divisors (see below), whose sum is σ = 20069744220. Its totient is φ = 5153711680.

The previous prime is 10505643437. The next prime is 10505643469. The reversal of 10505643464 is 46434650501.

10505643464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10002000100 + 503643364 = 100010^2 + 22442^2 .

It is a super-2 number, since 2×10505643464² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505643469) 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 3 ways as a sum of consecutive naturals, for example, 12388307 + ... + 12389154.

Almost surely, 2^10505643464 is an apocalyptic number.

It is an amenable number.

10505643464 is a deficient number, since it is larger than the sum of its proper divisors (9564100756).

10505643464 is a wasteful number, since it uses less digits than its factorization.

10505643464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24777520 (or 24777516 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 10505643464 in words is "ten billion, five hundred five million, six hundred forty-three thousand, four hundred sixty-four".