13801785361 has 27 divisors (see below), whose sum is σ = 17398626363. Its totient is φ = 10911635280.

The previous prime is 13801785343. The next prime is 13801785367. The reversal of 13801785361 is 16358710831.

The square root of 13801785361 is 117481.

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

It can be written as a sum of positive squares in only one way, i.e., 2041684225 + 11760101136 = 45185^2 + 108444^2 .

It is not a de Polignac number, because 13801785361 - 2¹⁹ = 13801261073 is a prime.

It is a super-2 number, since 2×13801785361² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13801785367) 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, 10690126 + ... + 10691416.

It is an arithmetic number, because the mean of its divisors is an integer number (644393569).

Almost surely, 2^13801785361 is an apocalyptic number.

13801785361 is the 117481-st square number.

13801785361 is the 58741-st centered octagonal number.

It is an amenable number.

13801785361 is a deficient number, since it is larger than the sum of its proper divisors (3596841002).

13801785361 is an frugal number, since it uses more digits than its factorization.

13801785361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 13801785361 in words is "thirteen billion, eight hundred one million, seven hundred eighty-five thousand, three hundred sixty-one".