13855048284169 has 27 divisors (see below), whose sum is σ = 14751835578207. Its totient is φ = 13011987659328.

The previous prime is 13855048284167. The next prime is 13855048284193. The reversal of 13855048284169 is 96148284055831.

The square root of 13855048284169 is 3722237.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8810478380025 + 5044569904144 = 2968245^2 + 2246012^2 .

It is not a de Polignac number, because 13855048284169 - 2¹ = 13855048284167 is a prime.

It is a super-3 number, since 3×13855048284169³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 13855048284169.

It is not an unprimeable number, because it can be changed into a prime (13855048284167) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3993958567 + ... + 3993962035.

Almost surely, 2^{13855048284169} is an apocalyptic number.

13855048284169 is the 3722237-th square number.

13855048284169 is the 1861119-th centered octagonal number.

It is an amenable number.

13855048284169 is a deficient number, since it is larger than the sum of its proper divisors (896787294038).

13855048284169 is an frugal number, since it uses more digits than its factorization.

13855048284169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 64.

Multiplying 13855048284169 by its sum of digits (64), we get a square (886723090186816 = 29777896²).

The spelling of 13855048284169 in words is "thirteen trillion, eight hundred fifty-five billion, forty-eight million, two hundred eighty-four thousand, one hundred sixty-nine".