338213028143761 has 3 divisors (see below), whose sum is σ = 338213046534331. Its totient is φ = 338213009753192.

The previous prime is 338213028143719. The next prime is 338213028143773. The reversal of 338213028143761 is 167341820312833.

The square root of 338213028143761 is 18390569.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 296743034465361 + 41469993678400 = 17226231^2 + 6439720^2 .

It is not a de Polignac number, because 338213028143761 - 2¹⁷ = 338213028012689 is a prime.

It is a super-2 number, since 2×338213028143761² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 338213028143699 and 338213028143708.

It is not an unprimeable number, because it can be changed into a prime (338213028143791) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9195285 + ... + 27585853.

Almost surely, 2^{338213028143761} is an apocalyptic number.

338213028143761 is the 18390569-th square number.

338213028143761 is the 9195285-th centered octagonal number.

It is an amenable number.

338213028143761 is a deficient number, since it is larger than the sum of its proper divisors (18390570).

338213028143761 is an frugal number, since it uses more digits than its factorization.

338213028143761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36781138 (or 18390569 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 338213028143761 in words is "three hundred thirty-eight trillion, two hundred thirteen billion, twenty-eight million, one hundred forty-three thousand, seven hundred sixty-one".