13689000000 has 735 divisors, whose sum is σ = 54924316491. Its totient is φ = 3369600000.

The previous prime is 13688999971. The next prime is 13689000019. The reversal of 13689000000 is 98631.

The square root of 13689000000 is 117000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 6421778496 + 7267221504 = 80136^2 + 85248^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1052999994 + ... + 1053000006.

Almost surely, 2^13689000000 is an apocalyptic number.

13689000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13689000000 is the 117000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13689000000

13689000000 is an abundant number, since it is smaller than the sum of its proper divisors (41235316491).

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

13689000000 is an frugal number, since it uses more digits than its factorization.

13689000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 13689000000 by its product of nonzero digits (1296), we get a square (17740944000000 = 4212000²).

13689000000 divided by its product of nonzero digits (1296) gives a square (10562500 = 3250²).

Adding to 13689000000 its reverse (98631), we get a palindrome (13689098631).

The spelling of 13689000000 in words is "thirteen billion, six hundred eighty-nine million", and thus it is an aban number.