13541744161 has 27 divisors (see below), whose sum is σ = 15199328179. Its totient is φ = 12055828400.

The previous prime is 13541744159. The next prime is 13541744197. The reversal of 13541744161 is 16144714531.

The square root of 13541744161 is 116369.

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

It can be written as a sum of positive squares in only one way, i.e., 1586508561 + 11955235600 = 39831^2 + 109340^2 .

It is not a de Polignac number, because 13541744161 - 2¹ = 13541744159 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13541744161.

It is not an unprimeable number, because it can be changed into a prime (13541744101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90884115 + ... + 90884263.

Almost surely, 2^13541744161 is an apocalyptic number.

13541744161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13541744161 is the 116369-th square number.

13541744161 is the 58185-th centered octagonal number.

It is an amenable number.

13541744161 is a deficient number, since it is larger than the sum of its proper divisors (1657584018).

13541744161 is an frugal number, since it uses more digits than its factorization.

13541744161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The spelling of 13541744161 in words is "thirteen billion, five hundred forty-one million, seven hundred forty-four thousand, one hundred sixty-one".