68442408225 has 81 divisors (see below), whose sum is σ = 124508172243. Its totient is φ = 35939622240.

The previous prime is 68442408211. The next prime is 68442408253. The reversal of 68442408225 is 52280424486.

The square root of 68442408225 is 261615.

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., 24639266961 + 43803141264 = 156969^2 + 209292^2 .

It is not a de Polignac number, because 68442408225 - 2²¹ = 68440311073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 419891994 + ... + 419892156.

Almost surely, 2^68442408225 is an apocalyptic number.

68442408225 is the 261615-th square number.

68442408225 is the 130808-th centered octagonal number.

It is an amenable number.

68442408225 is a deficient number, since it is larger than the sum of its proper divisors (56065764018).

68442408225 is a wasteful number, since it uses less digits than its factorization.

68442408225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 68442408225 in words is "sixty-eight billion, four hundred forty-two million, four hundred eight thousand, two hundred twenty-five".