4614641856 has 252 divisors, whose sum is σ = 14754220936. Its totient is φ = 1377699840.

The previous prime is 4614641839. The next prime is 4614641909. The reversal of 4614641856 is 6581464164.

4614641856 is a `hidden beast` number, since 4 + 6 + 1 + 464 + 185 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5087355 + ... + 5088261.

Almost surely, 2^4614641856 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 4614641856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377110468).

4614641856 is an abundant number, since it is smaller than the sum of its proper divisors (10139579080).

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

4614641856 is a wasteful number, since it uses less digits than its factorization.

4614641856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 996 counting only the distinct ones).

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

The square root of 4614641856 is about 67931.1552676679. The cubic root of 4614641856 is about 1664.8661895007.

It can be divided in two parts, 46 and 14641856, that multiplied together give a palindrome (673525376).

The spelling of 4614641856 in words is "four billion, six hundred fourteen million, six hundred forty-one thousand, eight hundred fifty-six".