4682362816512 has 288 divisors, whose sum is σ = 14069954283840. Its totient is φ = 1555717570560.

The previous prime is 4682362816499. The next prime is 4682362816577. The reversal of 4682362816512 is 2156182632864.

4682362816512 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 3 + 628 + 1 + 6 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4682362816512² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154758378 + ... + 154788630.

It is an arithmetic number, because the mean of its divisors is an integer number (48854007930).

Almost surely, 2^{4682362816512} 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 4682362816512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034977141920).

4682362816512 is an abundant number, since it is smaller than the sum of its proper divisors (9387591467328).

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

4682362816512 is an equidigital number, since it uses as much as digits as its factorization.

4682362816512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30601 (or 30569 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 4682362816512 in words is "four trillion, six hundred eighty-two billion, three hundred sixty-two million, eight hundred sixteen thousand, five hundred twelve".