13961335101169 has 9 divisors (see below), whose sum is σ = 14120302941003. Its totient is φ = 13804137356592.

The previous prime is 13961335101151. The next prime is 13961335101179. The reversal of 13961335101169 is 96110153316931.

It is a happy number.

The square root of 13961335101169 is 3736487.

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

13961335101169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2680872451569 + 11280462649600 = 1637337^2 + 3358640^2 .

It is not a de Polignac number, because 13961335101169 - 2¹³ = 13961335092977 is a prime.

It is a super-2 number, since 2×13961335101169² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13961335101179) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 332526352 + ... + 332568334.

Almost surely, 2^{13961335101169} is an apocalyptic number.

13961335101169 is the 3736487-th square number.

13961335101169 is the 1868244-th centered octagonal number.

It is an amenable number.

13961335101169 is a deficient number, since it is larger than the sum of its proper divisors (158967839834).

13961335101169 is an frugal number, since it uses more digits than its factorization.

13961335101169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84144 (or 42072 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 49.

Multiplying 13961335101169 by its sum of digits (49), we get a square (684105419957281 = 26155409²).

The spelling of 13961335101169 in words is "thirteen trillion, nine hundred sixty-one billion, three hundred thirty-five million, one hundred one thousand, one hundred sixty-nine".