4894678361664 has 567 divisors, whose sum is σ = 17689715236323. Its totient is φ = 1289629845504.

The previous prime is 4894678361641. The next prime is 4894678361669. The reversal of 4894678361664 is 4661638764984.

The square root of 4894678361664 is 2212392.

It is a perfect power (a square), and thus also a powerful number.

4894678361664 is a `hidden beast` number, since 4 + 89 + 467 + 83 + 6 + 1 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4009573721664 + 885104640000 = 2002392^2 + 940800^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4894678361592 and 4894678361601.

It is not an unprimeable number, because it can be changed into a prime (4894678361669) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4831863622 + ... + 4831864634.

Almost surely, 2^{4894678361664} is an apocalyptic number.

4894678361664 is the 2212392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4894678361664

4894678361664 is an abundant number, since it is smaller than the sum of its proper divisors (12795036874659).

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

4894678361664 is a wasteful number, since it uses less digits than its factorization.

4894678361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 1038 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 4894678361664 in words is "four trillion, eight hundred ninety-four billion, six hundred seventy-eight million, three hundred sixty-one thousand, six hundred sixty-four".