68303629689201 has 135 divisors (see below), whose sum is σ = 114434039027451. Its totient is φ = 40587257160576.

The previous prime is 68303629689131. The next prime is 68303629689221. The reversal of 68303629689201 is 10298692630386.

The square root of 68303629689201 is 8264601.

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

68303629689201 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 362 + 9 + 68 + 9 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53177566367025 + 15126063322176 = 7292295^2 + 3889224^2 .

It is not a de Polignac number, because 68303629689201 - 2⁷ = 68303629689073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68303629689221) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 24025193686 + ... + 24025196528.

Almost surely, 2^{68303629689201} is an apocalyptic number.

68303629689201 is the 8264601-st square number.

68303629689201 is the 4132301-st centered octagonal number.

It is an amenable number.

68303629689201 is a deficient number, since it is larger than the sum of its proper divisors (46130409338250).

68303629689201 is an frugal number, since it uses more digits than its factorization.

68303629689201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 68303629689201 in words is "sixty-eight trillion, three hundred three billion, six hundred twenty-nine million, six hundred eighty-nine thousand, two hundred one".