13824745505 has 12 divisors (see below), whose sum is σ = 16637573820. Its totient is φ = 11027968512.

The previous prime is 13824745499. The next prime is 13824745513. The reversal of 13824745505 is 50554742831.

It can be written as a sum of positive squares in 6 ways, for example, as 87030241 + 13737715264 = 9329^2 + 117208^2 .

It is not a de Polignac number, because 13824745505 - 2⁴ = 13824745489 is a prime.

It is a super-2 number, since 2×13824745505² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611951 + ... + 634139.

It is an arithmetic number, because the mean of its divisors is an integer number (1386464485).

Almost surely, 2^13824745505 is an apocalyptic number.

It is an amenable number.

13824745505 is a deficient number, since it is larger than the sum of its proper divisors (2812828315).

13824745505 is an frugal number, since it uses more digits than its factorization.

13824745505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22900 (or 22547 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 44.

The spelling of 13824745505 in words is "thirteen billion, eight hundred twenty-four million, seven hundred forty-five thousand, five hundred five".