4846317120 has 252 divisors, whose sum is σ = 17431053276. Its totient is φ = 1235773440.

The previous prime is 4846317071. The next prime is 4846317127. The reversal of 4846317120 is 217136484.

4846317120 is a `hidden beast` number, since 4 + 8 + 4 + 631 + 7 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 955551744 + 3890765376 = 30912^2 + 62376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4846317127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1521930 + ... + 1525110.

Almost surely, 2^4846317120 is an apocalyptic number.

4846317120 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 4846317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8715526638).

4846317120 is an abundant number, since it is smaller than the sum of its proper divisors (12584736156).

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

4846317120 is a wasteful number, since it uses less digits than its factorization.

4846317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4846317120 is about 69615.4948269421. The cubic root of 4846317120 is about 1692.2737179363.

The spelling of 4846317120 in words is "four billion, eight hundred forty-six million, three hundred seventeen thousand, one hundred twenty".