368608704664225 has 81 divisors (see below), whose sum is σ = 467909299874457. Its totient is φ = 288057813626880.

The previous prime is 368608704664223. The next prime is 368608704664231. The reversal of 368608704664225 is 522466407806863.

The square root of 368608704664225 is 19199185.

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 90581226351889 + 278027478312336 = 9517417^2 + 16674156^2 .

It is not a de Polignac number, because 368608704664225 - 2¹ = 368608704664223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (368608704664223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1434275115297 + ... + 1434275115553.

Almost surely, 2^{368608704664225} is an apocalyptic number.

368608704664225 is the 19199185-th square number.

368608704664225 is the 9599593-rd centered octagonal number.

It is an amenable number.

368608704664225 is a deficient number, since it is larger than the sum of its proper divisors (99300595210232).

368608704664225 is an frugal number, since it uses more digits than its factorization.

368608704664225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 67.

The spelling of 368608704664225 in words is "three hundred sixty-eight trillion, six hundred eight billion, seven hundred four million, six hundred sixty-four thousand, two hundred twenty-five".