8485346160 has 480 divisors, whose sum is σ = 31120008192. Its totient is φ = 2146176000.

The previous prime is 8485346141. The next prime is 8485346161. The reversal of 8485346160 is 616435848.

8485346160 is a `hidden beast` number, since 8 + 485 + 3 + 4 + 6 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8485346161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 33806035 + ... + 33806285.

Almost surely, 2^8485346160 is an apocalyptic number.

8485346160 is a gapful number since it is divisible by the number (80) 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 8485346160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560004096).

8485346160 is an abundant number, since it is smaller than the sum of its proper divisors (22634662032).

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

8485346160 is a wasteful number, since it uses less digits than its factorization.

8485346160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8485346160 is about 92115.9386859842. The cubic root of 8485346160 is about 2039.6540935999.

The spelling of 8485346160 in words is "eight billion, four hundred eighty-five million, three hundred forty-six thousand, one hundred sixty".