4846584638016 has 567 divisors, whose sum is σ = 15836893142889. Its totient is φ = 1416002227200.

The previous prime is 4846584637913. The next prime is 4846584638023. The reversal of 4846584638016 is 6108364856484.

It is a happy number.

The square root of 4846584638016 is 2201496.

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

4846584638016 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 584 + 6 + 38 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 318881572416 + 4527703065600 = 564696^2 + 2127840^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 18017043130 + ... + 18017043398.

Almost surely, 2^{4846584638016} is an apocalyptic number.

4846584638016 is the 2201496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4846584638016

4846584638016 is an abundant number, since it is smaller than the sum of its proper divisors (10990308504873).

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

4846584638016 is a wasteful number, since it uses less digits than its factorization.

4846584638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 4846584638016 in words is "four trillion, eight hundred forty-six billion, five hundred eighty-four million, six hundred thirty-eight thousand, sixteen".