10961461809 has 15 divisors (see below), whose sum is σ = 16375937083. Its totient is φ = 7307013024.

The previous prime is 10961461783. The next prime is 10961461829. The reversal of 10961461809 is 90816416901.

The square root of 10961461809 is 104697.

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

10961461809 is a `hidden beast` number, since 10 + 9 + 6 + 14 + 618 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7441650225 + 3519811584 = 86265^2 + 59328^2 .

It is not a de Polignac number, because 10961461809 - 2¹⁵ = 10961429041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10961461829) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 936457 + ... + 948089.

Almost surely, 2^10961461809 is an apocalyptic number.

10961461809 is the 104697-th square number.

10961461809 is the 52349-th centered octagonal number.

It is an amenable number.

10961461809 is a deficient number, since it is larger than the sum of its proper divisors (5414475274).

10961461809 is an frugal number, since it uses more digits than its factorization.

10961461809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23278 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

It can be divided in two parts, 1096 and 1461809, that added together give a triangular number (1462905 = T₁₇₁₀).

The spelling of 10961461809 in words is "ten billion, nine hundred sixty-one million, four hundred sixty-one thousand, eight hundred nine".