4516852996656 has 2560 divisors, whose sum is σ = 18799436759040. Its totient is φ = 1000976486400.

The previous prime is 4516852996651. The next prime is 4516852996681. The reversal of 4516852996656 is 6566992586154.

4516852996656 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 8 + 529 + 96 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (839808000) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (4516852996651) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 42213579355 + ... + 42213579461.

It is an arithmetic number, because the mean of its divisors is an integer number (7343529984).

Almost surely, 2^{4516852996656} 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 4516852996656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399718379520).

4516852996656 is an abundant number, since it is smaller than the sum of its proper divisors (14282583762384).

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

4516852996656 is a wasteful number, since it uses less digits than its factorization.

4516852996656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 72.

The spelling of 4516852996656 in words is "four trillion, five hundred sixteen billion, eight hundred fifty-two million, nine hundred ninety-six thousand, six hundred fifty-six".