4196946312 has 224 divisors, whose sum is σ = 12816037080. Its totient is φ = 1280240640.

The previous prime is 4196946311. The next prime is 4196946353. The reversal of 4196946312 is 2136496914.

4196946312 is a `hidden beast` number, since 4 + 1 + 9 + 6 + 9 + 4 + 631 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4067123076 + 129823236 = 63774^2 + 11394^2 .

It is a super-2 number, since 2×4196946312² = 35228716691620802688, which contains 22 as substring.

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 (4196946311) 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 55 ways as a sum of consecutive naturals, for example, 14935612 + ... + 14935892.

Almost surely, 2^4196946312 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 4196946312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408018540).

4196946312 is an abundant number, since it is smaller than the sum of its proper divisors (8619090768).

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

4196946312 is a wasteful number, since it uses less digits than its factorization.

4196946312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 496 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4196946312 is about 64783.8429857322. The cubic root of 4196946312 is about 1613.0375267988.

The spelling of 4196946312 in words is "four billion, one hundred ninety-six million, nine hundred forty-six thousand, three hundred twelve".