10835144464 has 45 divisors (see below), whose sum is σ = 21440328469. Its totient is φ = 5304528320.

The previous prime is 10835144461. The next prime is 10835144549. The reversal of 10835144464 is 46444153801.

The square root of 10835144464 is 104092.

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., 7811024400 + 3024120064 = 88380^2 + 54992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10835144461) 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, 22067259 + ... + 22067749.

Almost surely, 2^10835144464 is an apocalyptic number.

10835144464 is the 104092-nd square number.

It is an amenable number.

10835144464 is a deficient number, since it is larger than the sum of its proper divisors (10605184005).

10835144464 is an frugal number, since it uses more digits than its factorization.

10835144464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 10835144464 in words is "ten billion, eight hundred thirty-five million, one hundred forty-four thousand, four hundred sixty-four".