334968925225 has 81 divisors (see below), whose sum is σ = 485775022341. Its totient is φ = 228913132800.

The previous prime is 334968925211. The next prime is 334968925261. The reversal of 334968925225 is 522529869433.

The square root of 334968925225 is 578765.

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 7835259289 + 327133665936 = 88517^2 + 571956^2 .

It is not a de Polignac number, because 334968925225 - 2⁷ = 334968925097 is a prime.

It is a super-2 number, since 2×334968925225² (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 334968925225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 541144966 + ... + 541145584.

Almost surely, 2^334968925225 is an apocalyptic number.

334968925225 is the 578765-th square number.

334968925225 is the 289383-rd centered octagonal number.

It is an amenable number.

334968925225 is a deficient number, since it is larger than the sum of its proper divisors (150806097116).

334968925225 is an equidigital number, since it uses as much as digits as its factorization.

334968925225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 652 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 58.

The spelling of 334968925225 in words is "three hundred thirty-four billion, nine hundred sixty-eight million, nine hundred twenty-five thousand, two hundred twenty-five".