4859675465624 has 128 divisors (see below), whose sum is σ = 11066329296000. Its totient is φ = 1956110155776.

The previous prime is 4859675465621. The next prime is 4859675465639. The reversal of 4859675465624 is 4265645769584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4859675465621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456002504 + ... + 456013160.

It is an arithmetic number, because the mean of its divisors is an integer number (86455697625).

Almost surely, 2^{4859675465624} 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 4859675465624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533164648000).

4859675465624 is an abundant number, since it is smaller than the sum of its proper divisors (6206653830376).

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

4859675465624 is a wasteful number, since it uses less digits than its factorization.

4859675465624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18325 (or 18321 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 71.

The spelling of 4859675465624 in words is "four trillion, eight hundred fifty-nine billion, six hundred seventy-five million, four hundred sixty-five thousand, six hundred twenty-four".