13684788324 has 135 divisors (see below), whose sum is σ = 36694918953. Its totient is φ = 4447187712.

The previous prime is 13684788283. The next prime is 13684788347. The reversal of 13684788324 is 42388748631.

The square root of 13684788324 is 116982.

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

13684788324 is a `hidden beast` number, since 13 + 68 + 478 + 83 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6144992100 + 7539796224 = 78390^2 + 86832^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 141080244 + ... + 141080340.

Almost surely, 2^13684788324 is an apocalyptic number.

13684788324 is the 116982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13684788324

13684788324 is an abundant number, since it is smaller than the sum of its proper divisors (23010130629).

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

13684788324 is an frugal number, since it uses more digits than its factorization.

13684788324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 169 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 13684788324 in words is "thirteen billion, six hundred eighty-four million, seven hundred eighty-eight thousand, three hundred twenty-four".