68243212293025 has 243 divisors, whose sum is σ = 110996962714323. Its totient is φ = 41468622148800.

The previous prime is 68243212293013. The next prime is 68243212293049. The reversal of 68243212293025 is 52039221234286.

The square root of 68243212293025 is 8260945.

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., 24567556425489 + 43675655867536 = 4956567^2 + 6608756^2 .

It is not a de Polignac number, because 68243212293025 - 2⁷ = 68243212292897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 68243212293025.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 136759944226 + ... + 136759944724.

Almost surely, 2^{68243212293025} is an apocalyptic number.

68243212293025 is the 8260945-th square number.

68243212293025 is the 4130473-rd centered octagonal number.

It is an amenable number.

68243212293025 is a deficient number, since it is larger than the sum of its proper divisors (42753750421298).

68243212293025 is an equidigital number, since it uses as much as digits as its factorization.

68243212293025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

68243212293025 divided by its sum of digits (49) gives a square (1392718618225 = 1180135²).

The spelling of 68243212293025 in words is "sixty-eight trillion, two hundred forty-three billion, two hundred twelve million, two hundred ninety-three thousand, twenty-five".