4613141808 has 200 divisors, whose sum is σ = 14668870656. Its totient is φ = 1388016000.

The previous prime is 4613141789. The next prime is 4613141831. The reversal of 4613141808 is 8081413164.

It is a happy number.

4613141808 is a `hidden beast` number, since 461 + 3 + 14 + 180 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2151585 + ... + 2153727.

Almost surely, 2^4613141808 is an apocalyptic number.

4613141808 is a gapful number since it is divisible by the number (48) 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 4613141808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334435328).

4613141808 is an abundant number, since it is smaller than the sum of its proper divisors (10055728848).

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

4613141808 is a wasteful number, since it uses less digits than its factorization.

4613141808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4613141808 is about 67920.1134274671. The cubic root of 4613141808 is about 1664.6857746439.

The spelling of 4613141808 in words is "four billion, six hundred thirteen million, one hundred forty-one thousand, eight hundred eight".