68739768993025 has 81 divisors (see below), whose sum is σ = 92869934414481. Its totient is φ = 50449272756480.

The previous prime is 68739768992977. The next prime is 68739768993037. The reversal of 68739768993025 is 52039986793786.

The square root of 68739768993025 is 8290945.

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

It can be written as a sum of positive squares in 40 ways, for example, as 53121022365889 + 15618746627136 = 7288417^2 + 3952056^2 .

It is a de Polignac number, because none of the positive numbers 2^k-68739768993025 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 68739768993025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123410716047 + ... + 123410716603.

Almost surely, 2^{68739768993025} is an apocalyptic number.

68739768993025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

68739768993025 is the 8290945-th square number.

68739768993025 is the 4145473-rd centered octagonal number.

It is an amenable number.

68739768993025 is a deficient number, since it is larger than the sum of its proper divisors (24130165421456).

68739768993025 is an frugal number, since it uses more digits than its factorization.

68739768993025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 82.

The spelling of 68739768993025 in words is "sixty-eight trillion, seven hundred thirty-nine billion, seven hundred sixty-eight million, nine hundred ninety-three thousand, twenty-five".