4656318912 has 224 divisors, whose sum is σ = 15703296000. Its totient is φ = 1325362176.

The previous prime is 4656318907. The next prime is 4656318913. The reversal of 4656318912 is 2198136564.

4656318912 is a `hidden beast` number, since 4 + 6 + 5 + 631 + 8 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656318913) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4220953 + ... + 4222055.

It is an arithmetic number, because the mean of its divisors is an integer number (70104000).

Almost surely, 2^4656318912 is an apocalyptic number.

4656318912 is a gapful number since it is divisible by the number (42) 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 4656318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851648000).

4656318912 is an abundant number, since it is smaller than the sum of its proper divisors (11046977088).

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

4656318912 is a wasteful number, since it uses less digits than its factorization.

4656318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1464 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 4656318912 is about 68237.2252659793. The cubic root of 4656318912 is about 1669.8632457608.

The spelling of 4656318912 in words is "four billion, six hundred fifty-six million, three hundred eighteen thousand, nine hundred twelve".