4659307785216 has 1232 divisors, whose sum is σ = 16839349094400. Its totient is φ = 1286093168640.

The previous prime is 4659307785173. The next prime is 4659307785217. The reversal of 4659307785216 is 6125877039564.

4659307785216 is a `hidden beast` number, since 4 + 6 + 5 + 9 + 30 + 7 + 78 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4659307785217) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7937491675 + ... + 7937492261.

It is a 2-persistent number, because it is pandigital, and so is 2⋅4659307785216 = 9318615570432, but 3⋅4659307785216 = 13977923355648 is not.

Almost surely, 2^{4659307785216} 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 4659307785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419674547200).

4659307785216 is an abundant number, since it is smaller than the sum of its proper divisors (12180041309184).

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

4659307785216 is an frugal number, since it uses more digits than its factorization.

4659307785216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 4659307785216 in words is "four trillion, six hundred fifty-nine billion, three hundred seven million, seven hundred eighty-five thousand, two hundred sixteen".