13768500411649 has 3 divisors (see below), whose sum is σ = 13768504122243. Its totient is φ = 13768496701056.

The previous prime is 13768500411647. The next prime is 13768500411667. The reversal of 13768500411649 is 94611400586731.

The square root of 13768500411649 is 3710593.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 10152539553025 + 3615960858624 = 3186305^2 + 1901568^2 .

It is not a de Polignac number, because 13768500411649 - 2¹ = 13768500411647 is a prime.

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 13768500411649.

It is not an unprimeable number, because it can be changed into a prime (13768500411647) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1855297 + ... + 5565889.

It is an arithmetic number, because the mean of its divisors is an integer number (4589501374081).

Almost surely, 2^{13768500411649} is an apocalyptic number.

13768500411649 is the 3710593-rd square number.

13768500411649 is the 1855297-th centered octagonal number.

It is an amenable number.

13768500411649 is a deficient number, since it is larger than the sum of its proper divisors (3710594).

13768500411649 is an frugal number, since it uses more digits than its factorization.

13768500411649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421186 (or 3710593 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 13768500411649 in words is "thirteen trillion, seven hundred sixty-eight billion, five hundred million, four hundred eleven thousand, six hundred forty-nine".