4893664041216 has 432 divisors, whose sum is σ = 15252362012160. Its totient is φ = 1504363069440.

The previous prime is 4893664041197. The next prime is 4893664041269. The reversal of 4893664041216 is 6121404663984.

4893664041216 is a `hidden beast` number, since 4 + 89 + 36 + 6 + 404 + 121 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1347743721 + ... + 1347747351.

Almost surely, 2^{4893664041216} is an apocalyptic number.

4893664041216 is a gapful number since it is divisible by the number (46) 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 4893664041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626181006080).

4893664041216 is an abundant number, since it is smaller than the sum of its proper divisors (10358697970944).

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

4893664041216 is a wasteful number, since it uses less digits than its factorization.

4893664041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4893664041216 in words is "four trillion, eight hundred ninety-three billion, six hundred sixty-four million, forty-one thousand, two hundred sixteen".