13649716224 has 99 divisors (see below), whose sum is σ = 39445671577. Its totient is φ = 4546166784.

The previous prime is 13649716219. The next prime is 13649716231. The reversal of 13649716224 is 42261794631.

The square root of 13649716224 is 116832.

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

13649716224 is a `hidden beast` number, since 13 + 6 + 4 + 9 + 7 + 1 + 622 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4580582400 + 9069133824 = 67680^2 + 95232^2 .

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 13649716224.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11215264 + ... + 11216480.

Almost surely, 2^13649716224 is an apocalyptic number.

13649716224 is the 116832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13649716224

13649716224 is an abundant number, since it is smaller than the sum of its proper divisors (25795955353).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13649716224 is an frugal number, since it uses more digits than its factorization.

13649716224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 1222 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 13649716224 in words is "thirteen billion, six hundred forty-nine million, seven hundred sixteen thousand, two hundred twenty-four".