63493416441 has 135 divisors (see below), whose sum is σ = 117227187753. Its totient is φ = 33019328160.

The previous prime is 63493416431. The next prime is 63493416449. The reversal of 63493416441 is 14461439436.

The square root of 63493416441 is 251979.

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

63493416441 is a `hidden beast` number, since 63 + 493 + 4 + 1 + 64 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31481050041 + 32012366400 = 177429^2 + 178920^2 .

It is not a de Polignac number, because 63493416441 - 2⁵ = 63493416409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (63493416449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 894273436 + ... + 894273506.

Almost surely, 2^63493416441 is an apocalyptic number.

63493416441 is the 251979-th square number.

63493416441 is the 125990-th centered octagonal number.

It is an amenable number.

63493416441 is a deficient number, since it is larger than the sum of its proper divisors (53733771312).

63493416441 is an frugal number, since it uses more digits than its factorization.

63493416441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 94 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 63493416441 in words is "sixty-three billion, four hundred ninety-three million, four hundred sixteen thousand, four hundred forty-one".