13935356194081 has 27 divisors (see below), whose sum is σ = 16616815743027. Its totient is φ = 11652363612960.

The previous prime is 13935356194069. The next prime is 13935356194127. The reversal of 13935356194081 is 18049165353931.

The square root of 13935356194081 is 3733009.

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

13935356194081 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., 671483552481 + 13263872641600 = 819441^2 + 3641960^2 .

It is not a de Polignac number, because 13935356194081 - 2¹³ = 13935356185889 is a prime.

It is a super-2 number, since 2×13935356194081² (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 (13935356194051) 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, 1071367080 + ... + 1071380086.

Almost surely, 2^{13935356194081} is an apocalyptic number.

13935356194081 is the 3733009-th square number.

13935356194081 is the 1866505-th centered octagonal number.

It is an amenable number.

13935356194081 is a deficient number, since it is larger than the sum of its proper divisors (2681459548946).

13935356194081 is an frugal number, since it uses more digits than its factorization.

13935356194081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26110 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 58.

The spelling of 13935356194081 in words is "thirteen trillion, nine hundred thirty-five billion, three hundred fifty-six million, one hundred ninety-four thousand, eighty-one".