338855544769 has 27 divisors (see below), whose sum is σ = 397732359843. Its totient is φ = 287852550048.

The previous prime is 338855544761. The next prime is 338855544787. The reversal of 338855544769 is 967445558833.

The square root of 338855544769 is 582113.

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., 199045361025 + 139810183744 = 446145^2 + 373912^2 .

It is not a de Polignac number, because 338855544769 - 2³ = 338855544761 is a prime.

It is a super-2 number, since 2×338855544769² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338855544761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 558246064 + ... + 558246670.

Almost surely, 2^338855544769 is an apocalyptic number.

338855544769 is the 582113-rd square number.

338855544769 is the 291057-th centered octagonal number.

It is an amenable number.

338855544769 is a deficient number, since it is larger than the sum of its proper divisors (58876815074).

338855544769 is an frugal number, since it uses more digits than its factorization.

338855544769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 751 counting only the distinct ones).

The product of its digits is 435456000, while the sum is 67.

The spelling of 338855544769 in words is "three hundred thirty-eight billion, eight hundred fifty-five million, five hundred forty-four thousand, seven hundred sixty-nine".