64112049 has 27 divisors (see below), whose sum is σ = 99004737. Its totient is φ = 39970944.

The previous prime is 64112021. The next prime is 64112071. The reversal of 64112049 is 94021146.

The square root of 64112049 is 8007.

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

64112049 is a `hidden beast` number, since 641 + 12 + 0 + 4 + 9 = 666.

64112049 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 431649 + 63680400 = 657^2 + 7980^2 .

It is not a de Polignac number, because 64112049 - 2⁷ = 64111921 is a prime.

It is a super-2 number, since 2×64112049² = 8220709653956802, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64112549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 408279 + ... + 408435.

Almost surely, 2^64112049 is an apocalyptic number.

64112049 is the 8007-th square number.

64112049 is the 4004-th centered octagonal number.

It is an amenable number.

64112049 is a deficient number, since it is larger than the sum of its proper divisors (34892688).

64112049 is a wasteful number, since it uses less digits than its factorization.

64112049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 64112049 is about 400.2332993188.

The spelling of 64112049 in words is "sixty-four million, one hundred twelve thousand, forty-nine".