4796608145472 has 1680 divisors, whose sum is σ = 17978342585280. Its totient is φ = 1252411269120.

The previous prime is 4796608145467. The next prime is 4796608145473. The reversal of 4796608145472 is 2745418066974.

4796608145472 is a `hidden beast` number, since 4 + 7 + 9 + 6 + 6 + 0 + 81 + 4 + 547 + 2 = 666.

It is a super-2 number, since 2×4796608145472² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4796608145473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12859539078 + ... + 12859539450.

It is an arithmetic number, because the mean of its divisors is an integer number (10701394396).

Almost surely, 2^{4796608145472} 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 4796608145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989171292640).

4796608145472 is an abundant number, since it is smaller than the sum of its proper divisors (13181734439808).

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

4796608145472 is a wasteful number, since it uses less digits than its factorization.

4796608145472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 4796608145472 in words is "four trillion, seven hundred ninety-six billion, six hundred eight million, one hundred forty-five thousand, four hundred seventy-two".