216463104 has 360 divisors, whose sum is σ = 768682992. Its totient is φ = 59719680.

The previous prime is 216463103. The next prime is 216463109. The reversal of 216463104 is 401364612.

216463104 is a `hidden beast` number, since 2 + 1 + 646 + 3 + 10 + 4 = 666.

216463104 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216463103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2965212 + ... + 2965284.

Almost surely, 2^216463104 is an apocalyptic number.

216463104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384341496).

216463104 is an abundant number, since it is smaller than the sum of its proper divisors (552219888).

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

216463104 is a wasteful number, since it uses less digits than its factorization.

216463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 216463104 is about 14712.6851390220. The cubic root of 216463104 is about 600.4284939154.

The spelling of 216463104 in words is "two hundred sixteen million, four hundred sixty-three thousand, one hundred four".