4652023689216 has 624 divisors, whose sum is σ = 14552307525600. Its totient is φ = 1427298582528.

The previous prime is 4652023689199. The next prime is 4652023689221. The reversal of 4652023689216 is 6129863202564.

4652023689216 is a `hidden beast` number, since 4 + 6 + 520 + 2 + 36 + 89 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4194790870 + ... + 4194791978.

It is an arithmetic number, because the mean of its divisors is an integer number (23321005650).

Almost surely, 2^{4652023689216} 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 4652023689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276153762800).

4652023689216 is an abundant number, since it is smaller than the sum of its proper divisors (9900283836384).

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

4652023689216 is a wasteful number, since it uses less digits than its factorization.

4652023689216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4652023689216 in words is "four trillion, six hundred fifty-two billion, twenty-three million, six hundred eighty-nine thousand, two hundred sixteen".