11683387101409 has 9 divisors (see below), whose sum is σ = 12007818551001. Its totient is φ = 11367496830960.

The previous prime is 11683387101401. The next prime is 11683387101431. The reversal of 11683387101409 is 90410178338611.

The square root of 11683387101409 is 3418097.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4081632293025 + 7601754808384 = 2020305^2 + 2757128^2 .

It is not a de Polignac number, because 11683387101409 - 2³ = 11683387101401 is a prime.

It is a super-2 number, since 2×11683387101409² (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 (11683387101401) 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, 126423399 + ... + 126515779.

Almost surely, 2^{11683387101409} is an apocalyptic number.

11683387101409 is the 3418097-th square number.

11683387101409 is the 1709049-th centered octagonal number.

It is an amenable number.

11683387101409 is a deficient number, since it is larger than the sum of its proper divisors (324431449592).

11683387101409 is an frugal number, since it uses more digits than its factorization.

11683387101409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184836 (or 92418 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 11683387101409 in words is "eleven trillion, six hundred eighty-three billion, three hundred eighty-seven million, one hundred one thousand, four hundred nine".