338466804841 has 9 divisors (see below), whose sum is σ = 372040795063. Its totient is φ = 307691277520.

The previous prime is 338466804839. The next prime is 338466804847. The reversal of 338466804841 is 148408664833.

It is a happy number.

The square root of 338466804841 is 581779.

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., 233309286441 + 105157518400 = 483021^2 + 324280^2 .

It is not a de Polignac number, because 338466804841 - 2¹ = 338466804839 is a prime.

It is a super-2 number, since 2×338466804841² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338466804847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6373125 + ... + 6426013.

Almost surely, 2^338466804841 is an apocalyptic number.

338466804841 is the 581779-th square number.

338466804841 is the 290890-th centered octagonal number.

It is an amenable number.

338466804841 is a deficient number, since it is larger than the sum of its proper divisors (33573990222).

338466804841 is an frugal number, since it uses more digits than its factorization.

338466804841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105800 (or 52900 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 338466804841 in words is "three hundred thirty-eight billion, four hundred sixty-six million, eight hundred four thousand, eight hundred forty-one".