68542905249 has 135 divisors (see below), whose sum is σ = 125988288153. Its totient is φ = 35890598016.

The previous prime is 68542905203. The next prime is 68542905259. The reversal of 68542905249 is 94250924586.

The square root of 68542905249 is 261807.

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

68542905249 is a `hidden beast` number, since 6 + 8 + 542 + 9 + 0 + 52 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6092895249 + 62450010000 = 78057^2 + 249900^2 .

It is not a de Polignac number, because 68542905249 - 2⁷ = 68542905121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 68542905195 and 68542905204.

It is not an unprimeable number, because it can be changed into a prime (68542905259) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 500313109 + ... + 500313245.

Almost surely, 2^68542905249 is an apocalyptic number.

68542905249 is the 261807-th square number.

68542905249 is the 130904-th centered octagonal number.

It is an amenable number.

68542905249 is a deficient number, since it is larger than the sum of its proper divisors (57445382904).

68542905249 is an equidigital number, since it uses as much as digits as its factorization.

68542905249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 68542905249 in words is "sixty-eight billion, five hundred forty-two million, nine hundred five thousand, two hundred forty-nine".