68407538683225 has 81 divisors (see below), whose sum is σ = 99093297114237. Its totient is φ = 46709723786880.

The previous prime is 68407538683171. The next prime is 68407538683243. The reversal of 68407538683225 is 52238683570486.

The square root of 68407538683225 is 8270885.

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

It can be written as a sum of positive squares in 4 ways, for example, as 32213309408329 + 36194229274896 = 5675677^2 + 6016164^2 .

It is not a de Polignac number, because 68407538683225 - 2¹⁵ = 68407538650457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 110871213117 + ... + 110871213733.

Almost surely, 2^{68407538683225} is an apocalyptic number.

68407538683225 is the 8270885-th square number.

68407538683225 is the 4135443-rd centered octagonal number.

It is an amenable number.

68407538683225 is a deficient number, since it is larger than the sum of its proper divisors (30685758431012).

68407538683225 is an frugal number, since it uses more digits than its factorization.

68407538683225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 67.

The spelling of 68407538683225 in words is "sixty-eight trillion, four hundred seven billion, five hundred thirty-eight million, six hundred eighty-three thousand, two hundred twenty-five".