42686452449 has 27 divisors (see below), whose sum is σ = 62741142009. Its totient is φ = 27966323520.

The previous prime is 42686452441. The next prime is 42686452451. The reversal of 42686452449 is 94425468624.

The square root of 42686452449 is 206607.

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

42686452449 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 4 ways, for example, as 33688032849 + 8998419600 = 183543^2 + 94860^2 .

It is not a de Polignac number, because 42686452449 - 2³ = 42686452441 is a prime.

It is a super-3 number, since 3×42686452449³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42686452395 and 42686452404.

It is not an unprimeable number, because it can be changed into a prime (42686452441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37808517 + ... + 37809645.

Almost surely, 2^42686452449 is an apocalyptic number.

42686452449 is the 206607-th square number.

42686452449 is the 103304-th centered octagonal number.

It is an amenable number.

42686452449 is a deficient number, since it is larger than the sum of its proper divisors (20054689560).

42686452449 is an frugal number, since it uses more digits than its factorization.

42686452449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 1193 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 42686452449 in words is "forty-two billion, six hundred eighty-six million, four hundred fifty-two thousand, four hundred forty-nine".