13188684964 has 81 divisors (see below), whose sum is σ = 29118668481. Its totient is φ = 5209233120.

The previous prime is 13188684923. The next prime is 13188684997. The reversal of 13188684964 is 46948688131.

The square root of 13188684964 is 114842.

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., 1950988900 + 11237696064 = 44170^2 + 106008^2 .

It is a super-2 number, since 2×13188684964² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13188684899 and 13188684908.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20900929 + ... + 20901559.

Almost surely, 2^13188684964 is an apocalyptic number.

13188684964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13188684964 is the 114842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13188684964

13188684964 is an abundant number, since it is smaller than the sum of its proper divisors (15929983517).

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

13188684964 is an equidigital number, since it uses as much as digits as its factorization.

13188684964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 653 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 58.

The spelling of 13188684964 in words is "thirteen billion, one hundred eighty-eight million, six hundred eighty-four thousand, nine hundred sixty-four".