4965338716416 has 243 divisors, whose sum is σ = 15506603300097. Its totient is φ = 1527368693760.

The previous prime is 4965338716409. The next prime is 4965338716421. The reversal of 4965338716416 is 6146178335694.

It is a happy number.

The square root of 4965338716416 is 2228304.

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

4965338716416 is a `hidden beast` number, since 4 + 9 + 6 + 533 + 87 + 1 + 6 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 734517561600 + 4230821154816 = 857040^2 + 2056896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1390459911 + ... + 1390463481.

Almost surely, 2^{4965338716416} is an apocalyptic number.

4965338716416 is the 2228304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4965338716416

4965338716416 is an abundant number, since it is smaller than the sum of its proper divisors (10541264583681).

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

4965338716416 is an frugal number, since it uses more digits than its factorization.

4965338716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 3589 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 4965338716416 in words is "four trillion, nine hundred sixty-five billion, three hundred thirty-eight million, seven hundred sixteen thousand, four hundred sixteen".