13454441505 has 48 divisors (see below), whose sum is σ = 23432769360. Its totient is φ = 7141423104.

The previous prime is 13454441501. The next prime is 13454441513. The reversal of 13454441505 is 50514445431.

13454441505 is a `hidden beast` number, since 13 + 454 + 44 + 150 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 329531409 + 13124910096 = 18153^2 + 114564^2 .

It is not a de Polignac number, because 13454441505 - 2² = 13454441501 is a prime.

It is a super-2 number, since 2×13454441505² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13454441505.

It is not an unprimeable number, because it can be changed into a prime (13454441501) 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, 15699037 + ... + 15699893.

It is an arithmetic number, because the mean of its divisors is an integer number (488182695).

Almost surely, 2^13454441505 is an apocalyptic number.

13454441505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13454441505 is a deficient number, since it is larger than the sum of its proper divisors (9978327855).

13454441505 is a wasteful number, since it uses less digits than its factorization.

13454441505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 13454441505 its reverse (50514445431), we get a palindrome (63968886936).

The spelling of 13454441505 in words is "thirteen billion, four hundred fifty-four million, four hundred forty-one thousand, five hundred five".