68388003121 has 9 divisors (see below), whose sum is σ = 72652186411. Its totient is φ = 64360995232.

The previous prime is 68388003067. The next prime is 68388003179. The reversal of 68388003121 is 12130088386.

The square root of 68388003121 is 261511.

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., 53243255025 + 15144748096 = 230745^2 + 123064^2 .

It is not a de Polignac number, because 68388003121 - 2⁹ = 68388002609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68388003181) 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, 4437996 + ... + 4453378.

Almost surely, 2^68388003121 is an apocalyptic number.

68388003121 is the 261511-st square number.

68388003121 is the 130756-th centered octagonal number.

It is an amenable number.

68388003121 is a deficient number, since it is larger than the sum of its proper divisors (4264183290).

68388003121 is an frugal number, since it uses more digits than its factorization.

68388003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30800 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 68388003121 in words is "sixty-eight billion, three hundred eighty-eight million, three thousand, one hundred twenty-one".