63141216 has 36 divisors (see below), whose sum is σ = 165950316. Its totient is φ = 21021120.

The previous prime is 63141191. The next prime is 63141227. The reversal of 63141216 is 61214136.

63141216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 77451 + ... + 78261.

It is an arithmetic number, because the mean of its divisors is an integer number (4609731).

Almost surely, 2^63141216 is an apocalyptic number.

It is an amenable number.

63141216 is an abundant number, since it is smaller than the sum of its proper divisors (102809100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63141216 is an frugal number, since it uses more digits than its factorization.

63141216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 816 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 63141216 is about 7946.1447255886. The cubic root of 63141216 is about 398.2028039761.

Multiplying 63141216 by its sum of digits (24), we get a square (1515389184 = 38928²).

63141216 divided by its sum of digits (24) gives a square (2630884 = 1622²).

Multiplying 63141216 by its product of digits (864), we get a square (54554010624 = 233568²).

The spelling of 63141216 in words is "sixty-three million, one hundred forty-one thousand, two hundred sixteen".