4189712085 has 96 divisors (see below), whose sum is σ = 8226586368. Its totient is φ = 1957063680.

The previous prime is 4189712083. The next prime is 4189712119. The reversal of 4189712085 is 5802179814.

4189712085 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4189712085 - 2¹ = 4189712083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4189712085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4189712081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1761417 + ... + 1763793.

It is an arithmetic number, because the mean of its divisors is an integer number (85693608).

Almost surely, 2^4189712085 is an apocalyptic number.

4189712085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4189712085 is a deficient number, since it is larger than the sum of its proper divisors (4036874283).

4189712085 is a wasteful number, since it uses less digits than its factorization.

4189712085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 4189712085 is about 64727.9853309216. The cubic root of 4189712085 is about 1612.1102025169.

The spelling of 4189712085 in words is "four billion, one hundred eighty-nine million, seven hundred twelve thousand, eighty-five".