338951018025 has 81 divisors (see below), whose sum is σ = 624545847471. Its totient is φ = 175720423680.

The previous prime is 338951018011. The next prime is 338951018033. The reversal of 338951018025 is 520810159833.

The square root of 338951018025 is 582195.

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

338951018025 is a `hidden beast` number, since 3 + 38 + 9 + 510 + 1 + 80 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3493161 + 338947524864 = 1869^2 + 582192^2 .

It is a de Polignac number, because none of the positive numbers 2^k-338951018025 is a prime.

It is a super-2 number, since 2×338951018025² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 80 ways as a sum of consecutive naturals, for example, 323117701 + ... + 323118749.

Almost surely, 2^338951018025 is an apocalyptic number.

338951018025 is the 582195-th square number.

338951018025 is the 291098-th centered octagonal number.

It is an amenable number.

338951018025 is a deficient number, since it is larger than the sum of its proper divisors (285594829446).

338951018025 is an equidigital number, since it uses as much as digits as its factorization.

338951018025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 338951018025 in words is "three hundred thirty-eight billion, nine hundred fifty-one million, eighteen thousand, twenty-five".