38941456415481 has 81 divisors (see below), whose sum is σ = 61429299185709. Its totient is φ = 23766291710208.

The previous prime is 38941456415473. The next prime is 38941456415503. The reversal of 38941456415481 is 18451465414983.

The square root of 38941456415481 is 6240309.

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

38941456415481 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 1 + 45 + 6 + 41 + 548 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18114463819881 + 20826992595600 = 4256109^2 + 4563660^2 .

It is not a de Polignac number, because 38941456415481 - 2³ = 38941456415473 is a prime.

It is a super-2 number, since 2×38941456415481² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38941456415441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11775461430 + ... + 11775464736.

Almost surely, 2^{38941456415481} is an apocalyptic number.

38941456415481 is the 6240309-th square number.

38941456415481 is the 3120155-th centered octagonal number.

It is an amenable number.

38941456415481 is a deficient number, since it is larger than the sum of its proper divisors (22487842770228).

38941456415481 is an frugal number, since it uses more digits than its factorization.

38941456415481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 3364 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 38941456415481 in words is "thirty-eight trillion, nine hundred forty-one billion, four hundred fifty-six million, four hundred fifteen thousand, four hundred eighty-one".