14964873561 has 45 divisors (see below), whose sum is σ = 23848139055. Its totient is φ = 9042707520.

The previous prime is 14964873533. The next prime is 14964873563. The reversal of 14964873561 is 16537846941.

The square root of 14964873561 is 122331.

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

14964873561 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 4 + 8 + 73 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4035425625 + 10929447936 = 63525^2 + 104544^2 .

It is not a de Polignac number, because 14964873561 - 2¹¹ = 14964871513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14964873498 and 14964873507.

It is not an unprimeable number, because it can be changed into a prime (14964873563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44405985 + ... + 44406321.

Almost surely, 2^14964873561 is an apocalyptic number.

14964873561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14964873561 is the 122331-st square number.

14964873561 is the 61166-th centered octagonal number.

It is an amenable number.

14964873561 is a deficient number, since it is larger than the sum of its proper divisors (8883265494).

14964873561 is an frugal number, since it uses more digits than its factorization.

14964873561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 351 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 14964873561 in words is "fourteen billion, nine hundred sixty-four million, eight hundred seventy-three thousand, five hundred sixty-one".