13298646986361 has 81 divisors (see below), whose sum is σ = 21489603757167. Its totient is φ = 7918949301120.

The previous prime is 13298646986341. The next prime is 13298646986413. The reversal of 13298646986361 is 16368964689231.

The square root of 13298646986361 is 3646731.

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

13298646986361 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 86 + 469 + 86 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 352640007225 + 12946006979136 = 593835^2 + 3598056^2 .

It is not a de Polignac number, because 13298646986361 - 2²⁷ = 13298512768633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13298646986361.

It is not an unprimeable number, because it can be changed into a prime (13298646986341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7100184321 + ... + 7100186193.

Almost surely, 2^{13298646986361} is an apocalyptic number.

13298646986361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13298646986361 is the 3646731-st square number.

13298646986361 is the 1823366-th centered octagonal number.

It is an amenable number.

13298646986361 is a deficient number, since it is larger than the sum of its proper divisors (8190956770806).

13298646986361 is an frugal number, since it uses more digits than its factorization.

13298646986361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 1946 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 13298646986361 in words is "thirteen trillion, two hundred ninety-eight billion, six hundred forty-six million, nine hundred eighty-six thousand, three hundred sixty-one".