4561085016 has 96 divisors (see below), whose sum is σ = 12996547200. Its totient is φ = 1443156480.

The previous prime is 4561084991. The next prime is 4561085017. The reversal of 4561085016 is 6105801654.

4561085016 is a `hidden beast` number, since 4 + 561 + 0 + 85 + 0 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4561085017) 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, 88345 + ... + 130103.

It is an arithmetic number, because the mean of its divisors is an integer number (135380700).

Almost surely, 2^4561085016 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 4561085016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498273600).

4561085016 is an abundant number, since it is smaller than the sum of its proper divisors (8435462184).

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

4561085016 is a wasteful number, since it uses less digits than its factorization.

4561085016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41849 (or 41842 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4561085016 is about 67535.8054368200. The cubic root of 4561085016 is about 1658.4003819348.

The spelling of 4561085016 in words is "four billion, five hundred sixty-one million, eighty-five thousand, sixteen".