4168233216 has 432 divisors, whose sum is σ = 14838458880. Its totient is φ = 1149603840.

The previous prime is 4168233197. The next prime is 4168233217. The reversal of 4168233216 is 6123328614.

4168233216 is a `hidden beast` number, since 416 + 8 + 23 + 3 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (4168233217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10499130 + ... + 10499526.

Almost surely, 2^4168233216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419229440).

4168233216 is an abundant number, since it is smaller than the sum of its proper divisors (10670225664).

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

4168233216 is a wasteful number, since it uses less digits than its factorization.

4168233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 440 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4168233216 is about 64561.8557354108. The cubic root of 4168233216 is about 1609.3506139748.

The spelling of 4168233216 in words is "four billion, one hundred sixty-eight million, two hundred thirty-three thousand, two hundred sixteen".