67384372225 has 27 divisors (see below), whose sum is σ = 84305198523. Its totient is φ = 53428823040.

The previous prime is 67384372219. The next prime is 67384372243. The reversal of 67384372225 is 52227348376.

The square root of 67384372225 is 259585.

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

67384372225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 65814310849 + 1570061376 = 256543^2 + 39624^2 .

It is not a de Polignac number, because 67384372225 - 2⁹ = 67384371713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 250499391 + ... + 250499659.

Almost surely, 2^67384372225 is an apocalyptic number.

67384372225 is the 259585-th square number.

67384372225 is the 129793-rd centered octagonal number.

It is an amenable number.

67384372225 is a deficient number, since it is larger than the sum of its proper divisors (16920826298).

67384372225 is an frugal number, since it uses more digits than its factorization.

67384372225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 49.

Multiplying 67384372225 by its sum of digits (49), we get a square (3301834239025 = 1817095²).

The spelling of 67384372225 in words is "sixty-seven billion, three hundred eighty-four million, three hundred seventy-two thousand, two hundred twenty-five".