338124805225 has 27 divisors (see below), whose sum is σ = 445453872591. Its totient is φ = 254550873600.

The previous prime is 338124805219. The next prime is 338124805241. The reversal of 338124805225 is 522508421833.

The square root of 338124805225 is 581485.

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

It can be written as a sum of positive squares in 13 ways, for example, as 41931981529 + 296192823696 = 204773^2 + 544236^2 .

It is not a de Polignac number, because 338124805225 - 2¹⁵ = 338124772457 is a prime.

It is a super-2 number, since 2×338124805225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49422805 + ... + 49429645.

Almost surely, 2^338124805225 is an apocalyptic number.

338124805225 is the 581485-th square number.

338124805225 is the 290743-rd centered octagonal number.

It is an amenable number.

338124805225 is a deficient number, since it is larger than the sum of its proper divisors (107329067366).

338124805225 is an frugal number, since it uses more digits than its factorization.

338124805225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 338124805225 in words is "three hundred thirty-eight billion, one hundred twenty-four million, eight hundred five thousand, two hundred twenty-five".