4196136168 has 288 divisors, whose sum is σ = 14164956000. Its totient is φ = 1115493120.

The previous prime is 4196136143. The next prime is 4196136181. The reversal of 4196136168 is 8616316914.

4196136168 is a `hidden beast` number, since 4 + 19 + 6 + 13 + 616 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3954358 + ... + 3955418.

It is an arithmetic number, because the mean of its divisors is an integer number (49183875).

Almost surely, 2^4196136168 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 4196136168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082478000).

4196136168 is an abundant number, since it is smaller than the sum of its proper divisors (9968819832).

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

4196136168 is a wasteful number, since it uses less digits than its factorization.

4196136168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1151 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4196136168 is about 64777.5900138312. The cubic root of 4196136168 is about 1612.9337309537.

The spelling of 4196136168 in words is "four billion, one hundred ninety-six million, one hundred thirty-six thousand, one hundred sixty-eight".