13824852561 has 48 divisors (see below), whose sum is σ = 22975301440. Its totient is φ = 7939451520.

The previous prime is 13824852539. The next prime is 13824852563. The reversal of 13824852561 is 16525842831.

13824852561 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 4 + 85 + 2 + 561 = 666.

It is not a de Polignac number, because 13824852561 - 2⁹ = 13824852049 is a prime.

It is a super-2 number, since 2×13824852561² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13824852563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102531 + ... + 195351.

Almost surely, 2^13824852561 is an apocalyptic number.

It is an amenable number.

13824852561 is a deficient number, since it is larger than the sum of its proper divisors (9150448879).

13824852561 is a wasteful number, since it uses less digits than its factorization.

13824852561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92926 (or 92923 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 13824852561 in words is "thirteen billion, eight hundred twenty-four million, eight hundred fifty-two thousand, five hundred sixty-one".