4659538359564 has 216 divisors, whose sum is σ = 13097121055200. Its totient is φ = 1395588480000.

The previous prime is 4659538359559. The next prime is 4659538359577.

4659538359564 is a `hidden beast` number, since 4 + 6 + 5 + 9 + 5 + 3 + 8 + 3 + 59 + 564 = 666.

4659538359564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4659538359564² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4659538359492 and 4659538359501.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263524804 + ... + 263542484.

It is an arithmetic number, because the mean of its divisors is an integer number (60634819700).

Almost surely, 2^{4659538359564} is an apocalyptic number.

4659538359564 is a gapful number since it is divisible by the number (44) 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 4659538359564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548560527600).

4659538359564 is an abundant number, since it is smaller than the sum of its proper divisors (8437582695636).

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

4659538359564 is a wasteful number, since it uses less digits than its factorization.

4659538359564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18413 (or 18397 counting only the distinct ones).

The product of its digits is 2099520000, while the sum is 72.

The spelling of 4659538359564 in words is "four trillion, six hundred fifty-nine billion, five hundred thirty-eight million, three hundred fifty-nine thousand, five hundred sixty-four".