4855431168 has 320 divisors, whose sum is σ = 16777200000. Its totient is φ = 1387266048.

The previous prime is 4855431167. The next prime is 4855431181. The reversal of 4855431168 is 8611345584.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4855431168 is a `hidden beast` number, since 4 + 8 + 55 + 431 + 168 = 666.

It is a super-3 number, since 3×4855431168³ (a number of 30 digits) contains 333 as substring.

Its product of digits (460800) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (4855431167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693633021 + ... + 693633027.

It is an arithmetic number, because the mean of its divisors is an integer number (52428750).

Almost surely, 2^4855431168 is an apocalyptic number.

4855431168 is a gapful number since it is divisible by the number (48) 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 4855431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388600000).

4855431168 is an abundant number, since it is smaller than the sum of its proper divisors (11921768832).

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

4855431168 is an frugal number, since it uses more digits than its factorization.

4855431168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 12 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 4855431168 is about 69680.9239892813. The cubic root of 4855431168 is about 1693.3338910587. Note that the first 3 decimals are identical.

The spelling of 4855431168 in words is "four billion, eight hundred fifty-five million, four hundred thirty-one thousand, one hundred sixty-eight".