368345817225 has 45 divisors (see below), whose sum is σ = 682354376407. Its totient is φ = 196436536560.

The previous prime is 368345817181. The next prime is 368345817233. The reversal of 368345817225 is 522718543863.

The square root of 368345817225 is 606915.

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

368345817225 is a `hidden beast` number, since 3 + 6 + 8 + 34 + 581 + 7 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132604494201 + 235741323024 = 364149^2 + 485532^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 368345817225 - 2⁷ = 368345817097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27304432 + ... + 27317918.

Almost surely, 2^368345817225 is an apocalyptic number.

368345817225 is the 606915-th square number.

368345817225 is the 303458-th centered octagonal number.

It is an amenable number.

368345817225 is a deficient number, since it is larger than the sum of its proper divisors (314008559182).

368345817225 is an frugal number, since it uses more digits than its factorization.

368345817225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26996 (or 13495 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 368345817225 in words is "three hundred sixty-eight billion, three hundred forty-five million, eight hundred seventeen thousand, two hundred twenty-five".