4506064313000 has 128 divisors (see below), whose sum is σ = 10571405644800. Its totient is φ = 1797780096000.

The previous prime is 4506064312969. The next prime is 4506064313011. The reversal of 4506064313000 is 3134606054.

It is a super-5 number, since 5×4506064313000⁵ (a number of 64 digits) contains 55555 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 695269760 + ... + 695276240.

It is an arithmetic number, because the mean of its divisors is an integer number (82589106600).

Almost surely, 2^{4506064313000} is an apocalyptic number.

4506064313000 is a gapful number since it is divisible by the number (40) 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 4506064313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285702822400).

4506064313000 is an abundant number, since it is smaller than the sum of its proper divisors (6065341331800).

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

4506064313000 is a wasteful number, since it uses less digits than its factorization.

4506064313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8174 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 4506064313000 its reverse (3134606054), we get a palindrome (4509198919054).

The spelling of 4506064313000 in words is "four trillion, five hundred six billion, sixty-four million, three hundred thirteen thousand".