4485116160 has 216 divisors, whose sum is σ = 17735215680. Its totient is φ = 1025150976.

The previous prime is 4485116147. The next prime is 4485116203. The reversal of 4485116160 is 616115844.

4485116160 is a `hidden beast` number, since 4 + 485 + 1 + 16 + 160 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52831 + ... + 108449.

It is an arithmetic number, because the mean of its divisors is an integer number (82107480).

Almost surely, 2^4485116160 is an apocalyptic number.

4485116160 is a gapful number since it is divisible by the number (40) 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 4485116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8867607840).

4485116160 is an abundant number, since it is smaller than the sum of its proper divisors (13250099520).

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

4485116160 is a wasteful number, since it uses less digits than its factorization.

4485116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55653 (or 55636 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4485116160 is about 66971.0098475452. The cubic root of 4485116160 is about 1649.1414155684.

The spelling of 4485116160 in words is "four billion, four hundred eighty-five million, one hundred sixteen thousand, one hundred sixty".