4168181952 has 168 divisors, whose sum is σ = 13337438400. Its totient is φ = 1233630720.

The previous prime is 4168181951. The next prime is 4168181971. The reversal of 4168181952 is 2591818614.

It is a happy number.

4168181952 is a `hidden beast` number, since 416 + 8 + 181 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4168181898 and 4168181907.

It is not an unprimeable number, because it can be changed into a prime (4168181951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264799 + ... + 280097.

Almost surely, 2^4168181952 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 4168181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668719200).

4168181952 is an abundant number, since it is smaller than the sum of its proper divisors (9169256448).

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

4168181952 is a wasteful number, since it uses less digits than its factorization.

4168181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15371 (or 15358 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 4168181952 is about 64561.4587195797. The cubic root of 4168181952 is about 1609.3440162883.

The spelling of 4168181952 in words is "four billion, one hundred sixty-eight million, one hundred eighty-one thousand, nine hundred fifty-two".