38344220137441 has 27 divisors (see below), whose sum is σ = 41484884533113. Its totient is φ = 35435642333760.

The previous prime is 38344220137417. The next prime is 38344220137463. The reversal of 38344220137441 is 14473102244383.

The square root of 38344220137441 is 6192271.

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 11710569929041 + 26633650208400 = 3422071^2 + 5160780^2 .

It is not a de Polignac number, because 38344220137441 - 2¹¹ = 38344220135393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38344220137391 and 38344220137400.

It is not an unprimeable number, because it can be changed into a prime (38344220137841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4823775135 + ... + 4823783083.

Almost surely, 2^{38344220137441} is an apocalyptic number.

38344220137441 is the 6192271-st square number.

38344220137441 is the 3096136-th centered octagonal number.

It is an amenable number.

38344220137441 is a deficient number, since it is larger than the sum of its proper divisors (3140664395672).

38344220137441 is an frugal number, since it uses more digits than its factorization.

38344220137441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16018 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 46.

The spelling of 38344220137441 in words is "thirty-eight trillion, three hundred forty-four billion, two hundred twenty million, one hundred thirty-seven thousand, four hundred forty-one".