338369073025 has 27 divisors (see below), whose sum is σ = 422055420969. Its totient is φ = 269106067680.

The previous prime is 338369072953. The next prime is 338369073041. The reversal of 338369073025 is 520370963833.

The square root of 338369073025 is 581695.

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 136581245761 + 201787827264 = 369569^2 + 449208^2 .

It is a de Polignac number, because none of the positive numbers 2^k-338369073025 is a prime.

It is a super-2 number, since 2×338369073025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 338369073025.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 921986392 + ... + 921986758.

Almost surely, 2^338369073025 is an apocalyptic number.

338369073025 is the 581695-th square number.

338369073025 is the 290848-th centered octagonal number.

It is an amenable number.

338369073025 is a deficient number, since it is larger than the sum of its proper divisors (83686347944).

338369073025 is an frugal number, since it uses more digits than its factorization.

338369073025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 49.

Multiplying 338369073025 by its sum of digits (49), we get a square (16580084578225 = 4071865²).

The spelling of 338369073025 in words is "three hundred thirty-eight billion, three hundred sixty-nine million, seventy-three thousand, twenty-five".