306668427826401 has 9 divisors (see below), whose sum is σ = 442965582745491. Its totient is φ = 204445583527032.

The previous prime is 306668427826399. The next prime is 306668427826421. The reversal of 306668427826401 is 104628724866603.

The square root of 306668427826401 is 17511951.

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

It can be written as a sum of positive squares in only one way, i.e., 42406860323025 + 264261567503376 = 6512055^2 + 16256124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 306668427826401 - 2¹ = 306668427826399 is a prime.

It is a super-2 number, since 2×306668427826401² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (306668427826421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49617195 + ... + 55454511.

Almost surely, 2^{306668427826401} is an apocalyptic number.

306668427826401 is the 17511951-st square number.

306668427826401 is the 8755976-th centered octagonal number.

It is an amenable number.

306668427826401 is a deficient number, since it is larger than the sum of its proper divisors (136297154919090).

306668427826401 is an frugal number, since it uses more digits than its factorization.

306668427826401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674640 (or 5837320 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 306668427826401 in words is "three hundred six trillion, six hundred sixty-eight billion, four hundred twenty-seven million, eight hundred twenty-six thousand, four hundred one".